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Finding the Third Proportional to 126,028 and 272,742

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Solution

The third proportional to 126,028 and 272,742 is: 590,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,028 : 272,742 = 272,742 : x
  2. Step 2: Convert to fraction form
    126,028/272,742 = 272,742/x
  3. Step 3: Cross multiply
    126,028x = 272,742 × 272,742
  4. Step 4: Simplify right side
    126,028x = 74,388,198,564
  5. Step 5: Solve for x
    x = 74,388,198,564/126,028
  6. Step 6: Final answer
    x = 590,251.36

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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.