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Finding the Third Proportional to 400,452 and 711,872

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Solution

The third proportional to 400,452 and 711,872 is: 1,265,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,452 : 711,872 = 711,872 : x
  2. Step 2: Convert to fraction form
    400,452/711,872 = 711,872/x
  3. Step 3: Cross multiply
    400,452x = 711,872 × 711,872
  4. Step 4: Simplify right side
    400,452x = 506,761,744,384
  5. Step 5: Solve for x
    x = 506,761,744,384/400,452
  6. Step 6: Final answer
    x = 1,265,474.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.