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Finding the Third Proportional to 305,876 and 658,620

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Solution

The third proportional to 305,876 and 658,620 is: 1,418,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,876 : 658,620 = 658,620 : x
  2. Step 2: Convert to fraction form
    305,876/658,620 = 658,620/x
  3. Step 3: Cross multiply
    305,876x = 658,620 × 658,620
  4. Step 4: Simplify right side
    305,876x = 433,780,304,400
  5. Step 5: Solve for x
    x = 433,780,304,400/305,876
  6. Step 6: Final answer
    x = 1,418,157.37

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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.