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Finding the Third Proportional to 62,691 and 136,808

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Solution

The third proportional to 62,691 and 136,808 is: 298,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,691 : 136,808 = 136,808 : x
  2. Step 2: Convert to fraction form
    62,691/136,808 = 136,808/x
  3. Step 3: Cross multiply
    62,691x = 136,808 × 136,808
  4. Step 4: Simplify right side
    62,691x = 18,716,428,864
  5. Step 5: Solve for x
    x = 18,716,428,864/62,691
  6. Step 6: Final answer
    x = 298,550.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.