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Finding the Third Proportional to 332,126 and 687,874

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Solution

The third proportional to 332,126 and 687,874 is: 1,424,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,126 : 687,874 = 687,874 : x
  2. Step 2: Convert to fraction form
    332,126/687,874 = 687,874/x
  3. Step 3: Cross multiply
    332,126x = 687,874 × 687,874
  4. Step 4: Simplify right side
    332,126x = 473,170,639,876
  5. Step 5: Solve for x
    x = 473,170,639,876/332,126
  6. Step 6: Final answer
    x = 1,424,672.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.