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Finding the Third Proportional to 40,187.81 and 87,517.13

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Solution

The third proportional to 40,187.81 and 87,517.13 is: 190,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,187.81 : 87,517.13 = 87,517.13 : x
  2. Step 2: Convert to fraction form
    40,187.81/87,517.13 = 87,517.13/x
  3. Step 3: Cross multiply
    40,187.81x = 87,517.13 × 87,517.13
  4. Step 4: Simplify right side
    40,187.81x = 7,659,247,168.27
  5. Step 5: Solve for x
    x = 7,659,247,168.27/40,187.81
  6. Step 6: Final answer
    x = 190,586.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.