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Finding the Third Proportional to 41,512.25 and 90,080.50

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Solution

The third proportional to 41,512.25 and 90,080.50 is: 195,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512.25 : 90,080.50 = 90,080.50 : x
  2. Step 2: Convert to fraction form
    41,512.25/90,080.50 = 90,080.50/x
  3. Step 3: Cross multiply
    41,512.25x = 90,080.50 × 90,080.50
  4. Step 4: Simplify right side
    41,512.25x = 8,114,496,480.25
  5. Step 5: Solve for x
    x = 8,114,496,480.25/41,512.25
  6. Step 6: Final answer
    x = 195,472.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.