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Finding the Third Proportional to 165,643.50 and 220,691.25

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Solution

The third proportional to 165,643.50 and 220,691.25 is: 294,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.50 : 220,691.25 = 220,691.25 : x
  2. Step 2: Convert to fraction form
    165,643.50/220,691.25 = 220,691.25/x
  3. Step 3: Cross multiply
    165,643.50x = 220,691.25 × 220,691.25
  4. Step 4: Simplify right side
    165,643.50x = 48,704,627,826.56
  5. Step 5: Solve for x
    x = 48,704,627,826.56/165,643.50
  6. Step 6: Final answer
    x = 294,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.