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Finding the Third Proportional to 78,232.50 and 117,723.38

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Solution

The third proportional to 78,232.50 and 117,723.38 is: 177,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.50 : 117,723.38 = 117,723.38 : x
  2. Step 2: Convert to fraction form
    78,232.50/117,723.38 = 117,723.38/x
  3. Step 3: Cross multiply
    78,232.50x = 117,723.38 × 117,723.38
  4. Step 4: Simplify right side
    78,232.50x = 13,858,793,021.39
  5. Step 5: Solve for x
    x = 13,858,793,021.39/78,232.50
  6. Step 6: Final answer
    x = 177,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.