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Finding the Third Proportional to 309,876 and 656,952

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Solution

The third proportional to 309,876 and 656,952 is: 1,392,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,876 : 656,952 = 656,952 : x
  2. Step 2: Convert to fraction form
    309,876/656,952 = 656,952/x
  3. Step 3: Cross multiply
    309,876x = 656,952 × 656,952
  4. Step 4: Simplify right side
    309,876x = 431,585,930,304
  5. Step 5: Solve for x
    x = 431,585,930,304/309,876
  6. Step 6: Final answer
    x = 1,392,769.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.