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Finding the Third Proportional to 100,540.50 and 140,626.88

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Solution

The third proportional to 100,540.50 and 140,626.88 is: 196,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540.50 : 140,626.88 = 140,626.88 : x
  2. Step 2: Convert to fraction form
    100,540.50/140,626.88 = 140,626.88/x
  3. Step 3: Cross multiply
    100,540.50x = 140,626.88 × 140,626.88
  4. Step 4: Simplify right side
    100,540.50x = 19,775,917,972.27
  5. Step 5: Solve for x
    x = 19,775,917,972.27/100,540.50
  6. Step 6: Final answer
    x = 196,696.04

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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.