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Finding the Third Proportional to 158,438 and 247,377

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Solution

The third proportional to 158,438 and 247,377 is: 386,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438 : 247,377 = 247,377 : x
  2. Step 2: Convert to fraction form
    158,438/247,377 = 247,377/x
  3. Step 3: Cross multiply
    158,438x = 247,377 × 247,377
  4. Step 4: Simplify right side
    158,438x = 61,195,380,129
  5. Step 5: Solve for x
    x = 61,195,380,129/158,438
  6. Step 6: Final answer
    x = 386,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.