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Finding the Third Proportional to 574,128,612.56 and 1,252,170,616.50

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Solution

The third proportional to 574,128,612.56 and 1,252,170,616.50 is: 2,730,975,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,128,612.56 : 1,252,170,616.50 = 1,252,170,616.50 : x
  2. Step 2: Convert to fraction form
    574,128,612.56/1,252,170,616.50 = 1,252,170,616.50/x
  3. Step 3: Cross multiply
    574,128,612.56x = 1,252,170,616.50 × 1,252,170,616.50
  4. Step 4: Simplify right side
    574,128,612.56x = 1,567,931,252,825,990,144
  5. Step 5: Solve for x
    x = 1,567,931,252,825,990,144/574,128,612.56
  6. Step 6: Final answer
    x = 2,730,975,635.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.