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Finding the Third Proportional to 89,778 and 136,531

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Solution

The third proportional to 89,778 and 136,531 is: 207,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,778 : 136,531 = 136,531 : x
  2. Step 2: Convert to fraction form
    89,778/136,531 = 136,531/x
  3. Step 3: Cross multiply
    89,778x = 136,531 × 136,531
  4. Step 4: Simplify right side
    89,778x = 18,640,713,961
  5. Step 5: Solve for x
    x = 18,640,713,961/89,778
  6. Step 6: Final answer
    x = 207,631.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.