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Finding the Third Proportional to 80,220.38 and 113,460.75

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Solution

The third proportional to 80,220.38 and 113,460.75 is: 160,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220.38 : 113,460.75 = 113,460.75 : x
  2. Step 2: Convert to fraction form
    80,220.38/113,460.75 = 113,460.75/x
  3. Step 3: Cross multiply
    80,220.38x = 113,460.75 × 113,460.75
  4. Step 4: Simplify right side
    80,220.38x = 12,873,341,790.56
  5. Step 5: Solve for x
    x = 12,873,341,790.56/80,220.38
  6. Step 6: Final answer
    x = 160,474.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.