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Finding the Third Proportional to 126,170 and 187,432

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Solution

The third proportional to 126,170 and 187,432 is: 278,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,170 : 187,432 = 187,432 : x
  2. Step 2: Convert to fraction form
    126,170/187,432 = 187,432/x
  3. Step 3: Cross multiply
    126,170x = 187,432 × 187,432
  4. Step 4: Simplify right side
    126,170x = 35,130,754,624
  5. Step 5: Solve for x
    x = 35,130,754,624/126,170
  6. Step 6: Final answer
    x = 278,439.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.