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Finding the Third Proportional to 121,151 and 266,725

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Solution

The third proportional to 121,151 and 266,725 is: 587,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,151 : 266,725 = 266,725 : x
  2. Step 2: Convert to fraction form
    121,151/266,725 = 266,725/x
  3. Step 3: Cross multiply
    121,151x = 266,725 × 266,725
  4. Step 4: Simplify right side
    121,151x = 71,142,225,625
  5. Step 5: Solve for x
    x = 71,142,225,625/121,151
  6. Step 6: Final answer
    x = 587,219.47

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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.