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Finding the Third Proportional to 121,287 and 263,775

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Solution

The third proportional to 121,287 and 263,775 is: 573,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,287 : 263,775 = 263,775 : x
  2. Step 2: Convert to fraction form
    121,287/263,775 = 263,775/x
  3. Step 3: Cross multiply
    121,287x = 263,775 × 263,775
  4. Step 4: Simplify right side
    121,287x = 69,577,250,625
  5. Step 5: Solve for x
    x = 69,577,250,625/121,287
  6. Step 6: Final answer
    x = 573,657.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.