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Finding the Third Proportional to 438,423 and 660,531

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Solution

The third proportional to 438,423 and 660,531 is: 995,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,423 : 660,531 = 660,531 : x
  2. Step 2: Convert to fraction form
    438,423/660,531 = 660,531/x
  3. Step 3: Cross multiply
    438,423x = 660,531 × 660,531
  4. Step 4: Simplify right side
    438,423x = 436,301,201,961
  5. Step 5: Solve for x
    x = 436,301,201,961/438,423
  6. Step 6: Final answer
    x = 995,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.