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Finding the Third Proportional to 266,471 and 409,591

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Solution

The third proportional to 266,471 and 409,591 is: 629,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,471 : 409,591 = 409,591 : x
  2. Step 2: Convert to fraction form
    266,471/409,591 = 409,591/x
  3. Step 3: Cross multiply
    266,471x = 409,591 × 409,591
  4. Step 4: Simplify right side
    266,471x = 167,764,787,281
  5. Step 5: Solve for x
    x = 167,764,787,281/266,471
  6. Step 6: Final answer
    x = 629,579.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.