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Finding the Third Proportional to 81,553.50 and 165,412.13

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Solution

The third proportional to 81,553.50 and 165,412.13 is: 335,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,553.50 : 165,412.13 = 165,412.13 : x
  2. Step 2: Convert to fraction form
    81,553.50/165,412.13 = 165,412.13/x
  3. Step 3: Cross multiply
    81,553.50x = 165,412.13 × 165,412.13
  4. Step 4: Simplify right side
    81,553.50x = 27,361,171,097.02
  5. Step 5: Solve for x
    x = 27,361,171,097.02/81,553.50
  6. Step 6: Final answer
    x = 335,499.65

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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.