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Finding the Third Proportional to 126,730 and 268,940

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Solution

The third proportional to 126,730 and 268,940 is: 570,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,730 : 268,940 = 268,940 : x
  2. Step 2: Convert to fraction form
    126,730/268,940 = 268,940/x
  3. Step 3: Cross multiply
    126,730x = 268,940 × 268,940
  4. Step 4: Simplify right side
    126,730x = 72,328,723,600
  5. Step 5: Solve for x
    x = 72,328,723,600/126,730
  6. Step 6: Final answer
    x = 570,730.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.