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Finding the Third Proportional to 281,325 and 663,687

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Solution

The third proportional to 281,325 and 663,687 is: 1,565,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,325 : 663,687 = 663,687 : x
  2. Step 2: Convert to fraction form
    281,325/663,687 = 663,687/x
  3. Step 3: Cross multiply
    281,325x = 663,687 × 663,687
  4. Step 4: Simplify right side
    281,325x = 440,480,433,969
  5. Step 5: Solve for x
    x = 440,480,433,969/281,325
  6. Step 6: Final answer
    x = 1,565,735.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.