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Finding the Third Proportional to 107,470 and 169,449

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Solution

The third proportional to 107,470 and 169,449 is: 267,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,470 : 169,449 = 169,449 : x
  2. Step 2: Convert to fraction form
    107,470/169,449 = 169,449/x
  3. Step 3: Cross multiply
    107,470x = 169,449 × 169,449
  4. Step 4: Simplify right side
    107,470x = 28,712,963,601
  5. Step 5: Solve for x
    x = 28,712,963,601/107,470
  6. Step 6: Final answer
    x = 267,171.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.