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Finding the Third Proportional to 80,742.75 and 165,514.88

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Solution

The third proportional to 80,742.75 and 165,514.88 is: 339,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742.75 : 165,514.88 = 165,514.88 : x
  2. Step 2: Convert to fraction form
    80,742.75/165,514.88 = 165,514.88/x
  3. Step 3: Cross multiply
    80,742.75x = 165,514.88 × 165,514.88
  4. Step 4: Simplify right side
    80,742.75x = 27,395,173,846.27
  5. Step 5: Solve for x
    x = 27,395,173,846.27/80,742.75
  6. Step 6: Final answer
    x = 339,289.58

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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.