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Finding the Third Proportional to 121,279.78 and 263,761.31

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Solution

The third proportional to 121,279.78 and 263,761.31 is: 573,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,279.78 : 263,761.31 = 263,761.31 : x
  2. Step 2: Convert to fraction form
    121,279.78/263,761.31 = 263,761.31/x
  3. Step 3: Cross multiply
    121,279.78x = 263,761.31 × 263,761.31
  4. Step 4: Simplify right side
    121,279.78x = 69,570,029,971.72
  5. Step 5: Solve for x
    x = 69,570,029,971.72/121,279.78
  6. Step 6: Final answer
    x = 573,632.55

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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.