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Finding the Third Proportional to 81,397 and 169,031

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Solution

The third proportional to 81,397 and 169,031 is: 351,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,397 : 169,031 = 169,031 : x
  2. Step 2: Convert to fraction form
    81,397/169,031 = 169,031/x
  3. Step 3: Cross multiply
    81,397x = 169,031 × 169,031
  4. Step 4: Simplify right side
    81,397x = 28,571,478,961
  5. Step 5: Solve for x
    x = 28,571,478,961/81,397
  6. Step 6: Final answer
    x = 351,013.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.