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Finding the Third Proportional to 305,864 and 658,600

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Solution

The third proportional to 305,864 and 658,600 is: 1,418,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864 : 658,600 = 658,600 : x
  2. Step 2: Convert to fraction form
    305,864/658,600 = 658,600/x
  3. Step 3: Cross multiply
    305,864x = 658,600 × 658,600
  4. Step 4: Simplify right side
    305,864x = 433,753,960,000
  5. Step 5: Solve for x
    x = 433,753,960,000/305,864
  6. Step 6: Final answer
    x = 1,418,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.