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Finding the Third Proportional to 126,432 and 189,984

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Solution

The third proportional to 126,432 and 189,984 is: 285,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432 : 189,984 = 189,984 : x
  2. Step 2: Convert to fraction form
    126,432/189,984 = 189,984/x
  3. Step 3: Cross multiply
    126,432x = 189,984 × 189,984
  4. Step 4: Simplify right side
    126,432x = 36,093,920,256
  5. Step 5: Solve for x
    x = 36,093,920,256/126,432
  6. Step 6: Final answer
    x = 285,480.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.