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Finding the Third Proportional to 120,350 and 187,181

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Solution

The third proportional to 120,350 and 187,181 is: 291,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,350 : 187,181 = 187,181 : x
  2. Step 2: Convert to fraction form
    120,350/187,181 = 187,181/x
  3. Step 3: Cross multiply
    120,350x = 187,181 × 187,181
  4. Step 4: Simplify right side
    120,350x = 35,036,726,761
  5. Step 5: Solve for x
    x = 35,036,726,761/120,350
  6. Step 6: Final answer
    x = 291,123.61

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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.