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Finding the Third Proportional to 126,072 and 272,472

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Solution

The third proportional to 126,072 and 272,472 is: 588,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,072 : 272,472 = 272,472 : x
  2. Step 2: Convert to fraction form
    126,072/272,472 = 272,472/x
  3. Step 3: Cross multiply
    126,072x = 272,472 × 272,472
  4. Step 4: Simplify right side
    126,072x = 74,240,990,784
  5. Step 5: Solve for x
    x = 74,240,990,784/126,072
  6. Step 6: Final answer
    x = 588,877.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.