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Finding the Third Proportional to 121,456 and 266,825

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Solution

The third proportional to 121,456 and 266,825 is: 586,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,456 : 266,825 = 266,825 : x
  2. Step 2: Convert to fraction form
    121,456/266,825 = 266,825/x
  3. Step 3: Cross multiply
    121,456x = 266,825 × 266,825
  4. Step 4: Simplify right side
    121,456x = 71,195,580,625
  5. Step 5: Solve for x
    x = 71,195,580,625/121,456
  6. Step 6: Final answer
    x = 586,184.14

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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.