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Finding the Third Proportional to 75,642.75 and 100,342.13

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Solution

The third proportional to 75,642.75 and 100,342.13 is: 133,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.75 : 100,342.13 = 100,342.13 : x
  2. Step 2: Convert to fraction form
    75,642.75/100,342.13 = 100,342.13/x
  3. Step 3: Cross multiply
    75,642.75x = 100,342.13 × 100,342.13
  4. Step 4: Simplify right side
    75,642.75x = 10,068,542,049.52
  5. Step 5: Solve for x
    x = 10,068,542,049.52/75,642.75
  6. Step 6: Final answer
    x = 133,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.