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Finding the Third Proportional to 43,382.25 and 87,971.91

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Solution

The third proportional to 43,382.25 and 87,971.91 is: 178,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,382.25 : 87,971.91 = 87,971.91 : x
  2. Step 2: Convert to fraction form
    43,382.25/87,971.91 = 87,971.91/x
  3. Step 3: Cross multiply
    43,382.25x = 87,971.91 × 87,971.91
  4. Step 4: Simplify right side
    43,382.25x = 7,739,056,289.26
  5. Step 5: Solve for x
    x = 7,739,056,289.26/43,382.25
  6. Step 6: Final answer
    x = 178,392.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.