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Finding the Third Proportional to 185,438 and 379,687

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Solution

The third proportional to 185,438 and 379,687 is: 777,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,438 : 379,687 = 379,687 : x
  2. Step 2: Convert to fraction form
    185,438/379,687 = 379,687/x
  3. Step 3: Cross multiply
    185,438x = 379,687 × 379,687
  4. Step 4: Simplify right side
    185,438x = 144,162,217,969
  5. Step 5: Solve for x
    x = 144,162,217,969/185,438
  6. Step 6: Final answer
    x = 777,414.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.