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Finding the Third Proportional to 120,866 and 266,788

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Solution

The third proportional to 120,866 and 266,788 is: 588,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,866 : 266,788 = 266,788 : x
  2. Step 2: Convert to fraction form
    120,866/266,788 = 266,788/x
  3. Step 3: Cross multiply
    120,866x = 266,788 × 266,788
  4. Step 4: Simplify right side
    120,866x = 71,175,836,944
  5. Step 5: Solve for x
    x = 71,175,836,944/120,866
  6. Step 6: Final answer
    x = 588,882.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.