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Finding the Third Proportional to 266,721 and 581,373

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Solution

The third proportional to 266,721 and 581,373 is: 1,267,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,721 : 581,373 = 581,373 : x
  2. Step 2: Convert to fraction form
    266,721/581,373 = 581,373/x
  3. Step 3: Cross multiply
    266,721x = 581,373 × 581,373
  4. Step 4: Simplify right side
    266,721x = 337,994,565,129
  5. Step 5: Solve for x
    x = 337,994,565,129/266,721
  6. Step 6: Final answer
    x = 1,267,221.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.