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Finding the Third Proportional to 126,228 and 272,139

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Solution

The third proportional to 126,228 and 272,139 is: 586,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,228 : 272,139 = 272,139 : x
  2. Step 2: Convert to fraction form
    126,228/272,139 = 272,139/x
  3. Step 3: Cross multiply
    126,228x = 272,139 × 272,139
  4. Step 4: Simplify right side
    126,228x = 74,059,635,321
  5. Step 5: Solve for x
    x = 74,059,635,321/126,228
  6. Step 6: Final answer
    x = 586,713.21

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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.