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Finding the Third Proportional to 65,687 and 101,918

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Solution

The third proportional to 65,687 and 101,918 is: 158,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,687 : 101,918 = 101,918 : x
  2. Step 2: Convert to fraction form
    65,687/101,918 = 101,918/x
  3. Step 3: Cross multiply
    65,687x = 101,918 × 101,918
  4. Step 4: Simplify right side
    65,687x = 10,387,278,724
  5. Step 5: Solve for x
    x = 10,387,278,724/65,687
  6. Step 6: Final answer
    x = 158,132.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.