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Finding the Third Proportional to 126,702 and 272,124

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Solution

The third proportional to 126,702 and 272,124 is: 584,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,702 : 272,124 = 272,124 : x
  2. Step 2: Convert to fraction form
    126,702/272,124 = 272,124/x
  3. Step 3: Cross multiply
    126,702x = 272,124 × 272,124
  4. Step 4: Simplify right side
    126,702x = 74,051,471,376
  5. Step 5: Solve for x
    x = 74,051,471,376/126,702
  6. Step 6: Final answer
    x = 584,453.85

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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.