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Finding the Third Proportional to 121,407 and 266,902

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Solution

The third proportional to 121,407 and 266,902 is: 586,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407 : 266,902 = 266,902 : x
  2. Step 2: Convert to fraction form
    121,407/266,902 = 266,902/x
  3. Step 3: Cross multiply
    121,407x = 266,902 × 266,902
  4. Step 4: Simplify right side
    121,407x = 71,236,677,604
  5. Step 5: Solve for x
    x = 71,236,677,604/121,407
  6. Step 6: Final answer
    x = 586,759.23

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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.