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Finding the Third Proportional to 80,939.50 and 165,090.50

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Solution

The third proportional to 80,939.50 and 165,090.50 is: 336,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,939.50 : 165,090.50 = 165,090.50 : x
  2. Step 2: Convert to fraction form
    80,939.50/165,090.50 = 165,090.50/x
  3. Step 3: Cross multiply
    80,939.50x = 165,090.50 × 165,090.50
  4. Step 4: Simplify right side
    80,939.50x = 27,254,873,190.25
  5. Step 5: Solve for x
    x = 27,254,873,190.25/80,939.50
  6. Step 6: Final answer
    x = 336,731.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.