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Finding the Third Proportional to 78,464.75 and 100,747.13

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Solution

The third proportional to 78,464.75 and 100,747.13 is: 129,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464.75 : 100,747.13 = 100,747.13 : x
  2. Step 2: Convert to fraction form
    78,464.75/100,747.13 = 100,747.13/x
  3. Step 3: Cross multiply
    78,464.75x = 100,747.13 × 100,747.13
  4. Step 4: Simplify right side
    78,464.75x = 10,149,983,195.77
  5. Step 5: Solve for x
    x = 10,149,983,195.77/78,464.75
  6. Step 6: Final answer
    x = 129,357.24

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.