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Finding the Third Proportional to 137,781 and 302,625

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Solution

The third proportional to 137,781 and 302,625 is: 664,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781 : 302,625 = 302,625 : x
  2. Step 2: Convert to fraction form
    137,781/302,625 = 302,625/x
  3. Step 3: Cross multiply
    137,781x = 302,625 × 302,625
  4. Step 4: Simplify right side
    137,781x = 91,581,890,625
  5. Step 5: Solve for x
    x = 91,581,890,625/137,781
  6. Step 6: Final answer
    x = 664,691.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.