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Finding the Third Proportional to 206,520 and 275,617.50

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Solution

The third proportional to 206,520 and 275,617.50 is: 367,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520 : 275,617.50 = 275,617.50 : x
  2. Step 2: Convert to fraction form
    206,520/275,617.50 = 275,617.50/x
  3. Step 3: Cross multiply
    206,520x = 275,617.50 × 275,617.50
  4. Step 4: Simplify right side
    206,520x = 75,965,006,306.25
  5. Step 5: Solve for x
    x = 75,965,006,306.25/206,520
  6. Step 6: Final answer
    x = 367,833.65

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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.