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Finding the Third Proportional to 39,165.75 and 80,405.44

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Solution

The third proportional to 39,165.75 and 80,405.44 is: 165,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,165.75 : 80,405.44 = 80,405.44 : x
  2. Step 2: Convert to fraction form
    39,165.75/80,405.44 = 80,405.44/x
  3. Step 3: Cross multiply
    39,165.75x = 80,405.44 × 80,405.44
  4. Step 4: Simplify right side
    39,165.75x = 6,465,034,379.57
  5. Step 5: Solve for x
    x = 6,465,034,379.57/39,165.75
  6. Step 6: Final answer
    x = 165,068.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.