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Finding the Third Proportional to 62,676 and 136,872

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Solution

The third proportional to 62,676 and 136,872 is: 298,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,676 : 136,872 = 136,872 : x
  2. Step 2: Convert to fraction form
    62,676/136,872 = 136,872/x
  3. Step 3: Cross multiply
    62,676x = 136,872 × 136,872
  4. Step 4: Simplify right side
    62,676x = 18,733,944,384
  5. Step 5: Solve for x
    x = 18,733,944,384/62,676
  6. Step 6: Final answer
    x = 298,901.40

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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.