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Finding the Third Proportional to 305,860 and 658,592

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Solution

The third proportional to 305,860 and 658,592 is: 1,418,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,860 : 658,592 = 658,592 : x
  2. Step 2: Convert to fraction form
    305,860/658,592 = 658,592/x
  3. Step 3: Cross multiply
    305,860x = 658,592 × 658,592
  4. Step 4: Simplify right side
    305,860x = 433,743,422,464
  5. Step 5: Solve for x
    x = 433,743,422,464/305,860
  6. Step 6: Final answer
    x = 1,418,110.97

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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.