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Finding the Third Proportional to 126,704 and 272,128

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Solution

The third proportional to 126,704 and 272,128 is: 584,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,704 : 272,128 = 272,128 : x
  2. Step 2: Convert to fraction form
    126,704/272,128 = 272,128/x
  3. Step 3: Cross multiply
    126,704x = 272,128 × 272,128
  4. Step 4: Simplify right side
    126,704x = 74,053,648,384
  5. Step 5: Solve for x
    x = 74,053,648,384/126,704
  6. Step 6: Final answer
    x = 584,461.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.