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Finding the Third Proportional to 85,918 and 129,822

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Solution

The third proportional to 85,918 and 129,822 is: 196,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,918 : 129,822 = 129,822 : x
  2. Step 2: Convert to fraction form
    85,918/129,822 = 129,822/x
  3. Step 3: Cross multiply
    85,918x = 129,822 × 129,822
  4. Step 4: Simplify right side
    85,918x = 16,853,751,684
  5. Step 5: Solve for x
    x = 16,853,751,684/85,918
  6. Step 6: Final answer
    x = 196,160.89

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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.