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Finding the Third Proportional to 71,344 and 168,721

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Solution

The third proportional to 71,344 and 168,721 is: 399,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,344 : 168,721 = 168,721 : x
  2. Step 2: Convert to fraction form
    71,344/168,721 = 168,721/x
  3. Step 3: Cross multiply
    71,344x = 168,721 × 168,721
  4. Step 4: Simplify right side
    71,344x = 28,466,775,841
  5. Step 5: Solve for x
    x = 28,466,775,841/71,344
  6. Step 6: Final answer
    x = 399,007.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.