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Finding the Third Proportional to 121,149 and 266,721

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Solution

The third proportional to 121,149 and 266,721 is: 587,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,149 : 266,721 = 266,721 : x
  2. Step 2: Convert to fraction form
    121,149/266,721 = 266,721/x
  3. Step 3: Cross multiply
    121,149x = 266,721 × 266,721
  4. Step 4: Simplify right side
    121,149x = 71,140,091,841
  5. Step 5: Solve for x
    x = 71,140,091,841/121,149
  6. Step 6: Final answer
    x = 587,211.55

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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.