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Finding the Third Proportional to 121,381 and 266,910

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Solution

The third proportional to 121,381 and 266,910 is: 586,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,381 : 266,910 = 266,910 : x
  2. Step 2: Convert to fraction form
    121,381/266,910 = 266,910/x
  3. Step 3: Cross multiply
    121,381x = 266,910 × 266,910
  4. Step 4: Simplify right side
    121,381x = 71,240,948,100
  5. Step 5: Solve for x
    x = 71,240,948,100/121,381
  6. Step 6: Final answer
    x = 586,920.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.