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Finding the Third Proportional to 80,052.75 and 125,572.50

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Solution

The third proportional to 80,052.75 and 125,572.50 is: 196,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,052.75 : 125,572.50 = 125,572.50 : x
  2. Step 2: Convert to fraction form
    80,052.75/125,572.50 = 125,572.50/x
  3. Step 3: Cross multiply
    80,052.75x = 125,572.50 × 125,572.50
  4. Step 4: Simplify right side
    80,052.75x = 15,768,452,756.25
  5. Step 5: Solve for x
    x = 15,768,452,756.25/80,052.75
  6. Step 6: Final answer
    x = 196,975.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.