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Finding the Third Proportional to 627,687 and 1,372,743

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Solution

The third proportional to 627,687 and 1,372,743 is: 3,002,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,687 : 1,372,743 = 1,372,743 : x
  2. Step 2: Convert to fraction form
    627,687/1,372,743 = 1,372,743/x
  3. Step 3: Cross multiply
    627,687x = 1,372,743 × 1,372,743
  4. Step 4: Simplify right side
    627,687x = 1,884,423,344,049
  5. Step 5: Solve for x
    x = 1,884,423,344,049/627,687
  6. Step 6: Final answer
    x = 3,002,170.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.