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Finding the Third Proportional to 266,438 and 398,847

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Solution

The third proportional to 266,438 and 398,847 is: 597,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438 : 398,847 = 398,847 : x
  2. Step 2: Convert to fraction form
    266,438/398,847 = 398,847/x
  3. Step 3: Cross multiply
    266,438x = 398,847 × 398,847
  4. Step 4: Simplify right side
    266,438x = 159,078,929,409
  5. Step 5: Solve for x
    x = 159,078,929,409/266,438
  6. Step 6: Final answer
    x = 597,057.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.