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Finding the Third Proportional to 62,536 and 136,552

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Solution

The third proportional to 62,536 and 136,552 is: 298,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,536 : 136,552 = 136,552 : x
  2. Step 2: Convert to fraction form
    62,536/136,552 = 136,552/x
  3. Step 3: Cross multiply
    62,536x = 136,552 × 136,552
  4. Step 4: Simplify right side
    62,536x = 18,646,448,704
  5. Step 5: Solve for x
    x = 18,646,448,704/62,536
  6. Step 6: Final answer
    x = 298,171.43

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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.