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Finding the Third Proportional to 62,678 and 136,876

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Solution

The third proportional to 62,678 and 136,876 is: 298,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,678 : 136,876 = 136,876 : x
  2. Step 2: Convert to fraction form
    62,678/136,876 = 136,876/x
  3. Step 3: Cross multiply
    62,678x = 136,876 × 136,876
  4. Step 4: Simplify right side
    62,678x = 18,735,039,376
  5. Step 5: Solve for x
    x = 18,735,039,376/62,678
  6. Step 6: Final answer
    x = 298,909.34

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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.