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Finding the Third Proportional to 121,135.50 and 169,747.31

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Solution

The third proportional to 121,135.50 and 169,747.31 is: 237,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,135.50 : 169,747.31 = 169,747.31 : x
  2. Step 2: Convert to fraction form
    121,135.50/169,747.31 = 169,747.31/x
  3. Step 3: Cross multiply
    121,135.50x = 169,747.31 × 169,747.31
  4. Step 4: Simplify right side
    121,135.50x = 28,814,150,100.97
  5. Step 5: Solve for x
    x = 28,814,150,100.97/121,135.50
  6. Step 6: Final answer
    x = 237,867.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.