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Finding the Third Proportional to 288,733,638 and 623,489,829

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Solution

The third proportional to 288,733,638 and 623,489,829 is: 1,346,360,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733,638 : 623,489,829 = 623,489,829 : x
  2. Step 2: Convert to fraction form
    288,733,638/623,489,829 = 623,489,829/x
  3. Step 3: Cross multiply
    288,733,638x = 623,489,829 × 623,489,829
  4. Step 4: Simplify right side
    288,733,638x = 388,739,566,866,449,216
  5. Step 5: Solve for x
    x = 388,739,566,866,449,216/288,733,638
  6. Step 6: Final answer
    x = 1,346,360,505.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.