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Finding the Third Proportional to 288,234,971,275.50 and 600,326,980,899.48

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Solution

The third proportional to 288,234,971,275.50 and 600,326,980,899.48 is: 1,250,342,671,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,234,971,275.50 : 600,326,980,899.48 = 600,326,980,899.48 : x
  2. Step 2: Convert to fraction form
    288,234,971,275.50/600,326,980,899.48 = 600,326,980,899.48/x
  3. Step 3: Cross multiply
    288,234,971,275.50x = 600,326,980,899.48 × 600,326,980,899.48
  4. Step 4: Simplify right side
    288,234,971,275.50x = 360,392,483,995,884,592,300,032
  5. Step 5: Solve for x
    x = 360,392,483,995,884,592,300,032/288,234,971,275.50
  6. Step 6: Final answer
    x = 1,250,342,671,470.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.