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Finding the Third Proportional to 126,470 and 266,872

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Solution

The third proportional to 126,470 and 266,872 is: 563,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,470 : 266,872 = 266,872 : x
  2. Step 2: Convert to fraction form
    126,470/266,872 = 266,872/x
  3. Step 3: Cross multiply
    126,470x = 266,872 × 266,872
  4. Step 4: Simplify right side
    126,470x = 71,220,664,384
  5. Step 5: Solve for x
    x = 71,220,664,384/126,470
  6. Step 6: Final answer
    x = 563,142.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.