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Finding the Third Proportional to 126,009 and 272,079

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Solution

The third proportional to 126,009 and 272,079 is: 587,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,009 : 272,079 = 272,079 : x
  2. Step 2: Convert to fraction form
    126,009/272,079 = 272,079/x
  3. Step 3: Cross multiply
    126,009x = 272,079 × 272,079
  4. Step 4: Simplify right side
    126,009x = 74,026,982,241
  5. Step 5: Solve for x
    x = 74,026,982,241/126,009
  6. Step 6: Final answer
    x = 587,473.77

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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.