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Finding the Third Proportional to 80,600.50 and 127,084

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Solution

The third proportional to 80,600.50 and 127,084 is: 200,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,600.50 : 127,084 = 127,084 : x
  2. Step 2: Convert to fraction form
    80,600.50/127,084 = 127,084/x
  3. Step 3: Cross multiply
    80,600.50x = 127,084 × 127,084
  4. Step 4: Simplify right side
    80,600.50x = 16,150,343,056
  5. Step 5: Solve for x
    x = 16,150,343,056/80,600.50
  6. Step 6: Final answer
    x = 200,375.22

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.