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Finding the Third Proportional to 100,680.75 and 141,103.13

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Solution

The third proportional to 100,680.75 and 141,103.13 is: 197,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680.75 : 141,103.13 = 141,103.13 : x
  2. Step 2: Convert to fraction form
    100,680.75/141,103.13 = 141,103.13/x
  3. Step 3: Cross multiply
    100,680.75x = 141,103.13 × 141,103.13
  4. Step 4: Simplify right side
    100,680.75x = 19,910,091,884.77
  5. Step 5: Solve for x
    x = 19,910,091,884.77/100,680.75
  6. Step 6: Final answer
    x = 197,754.70

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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.