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Finding the Third Proportional to 77,998.50 and 125,610.75

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Solution

The third proportional to 77,998.50 and 125,610.75 is: 202,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998.50 : 125,610.75 = 125,610.75 : x
  2. Step 2: Convert to fraction form
    77,998.50/125,610.75 = 125,610.75/x
  3. Step 3: Cross multiply
    77,998.50x = 125,610.75 × 125,610.75
  4. Step 4: Simplify right side
    77,998.50x = 15,778,060,515.56
  5. Step 5: Solve for x
    x = 15,778,060,515.56/77,998.50
  6. Step 6: Final answer
    x = 202,286.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.