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Finding the Third Proportional to 268,694 and 408,387

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Solution

The third proportional to 268,694 and 408,387 is: 620,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,694 : 408,387 = 408,387 : x
  2. Step 2: Convert to fraction form
    268,694/408,387 = 408,387/x
  3. Step 3: Cross multiply
    268,694x = 408,387 × 408,387
  4. Step 4: Simplify right side
    268,694x = 166,779,941,769
  5. Step 5: Solve for x
    x = 166,779,941,769/268,694
  6. Step 6: Final answer
    x = 620,705.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.