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Finding the Third Proportional to 266,976 and 413,497

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Solution

The third proportional to 266,976 and 413,497 is: 640,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,976 : 413,497 = 413,497 : x
  2. Step 2: Convert to fraction form
    266,976/413,497 = 413,497/x
  3. Step 3: Cross multiply
    266,976x = 413,497 × 413,497
  4. Step 4: Simplify right side
    266,976x = 170,979,769,009
  5. Step 5: Solve for x
    x = 170,979,769,009/266,976
  6. Step 6: Final answer
    x = 640,431.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.