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Finding the Third Proportional to 305,872 and 658,612

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Solution

The third proportional to 305,872 and 658,612 is: 1,418,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872 : 658,612 = 658,612 : x
  2. Step 2: Convert to fraction form
    305,872/658,612 = 658,612/x
  3. Step 3: Cross multiply
    305,872x = 658,612 × 658,612
  4. Step 4: Simplify right side
    305,872x = 433,769,766,544
  5. Step 5: Solve for x
    x = 433,769,766,544/305,872
  6. Step 6: Final answer
    x = 1,418,141.47

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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.