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Finding the Third Proportional to 206,940 and 328,230

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Solution

The third proportional to 206,940 and 328,230 is: 520,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,940 : 328,230 = 328,230 : x
  2. Step 2: Convert to fraction form
    206,940/328,230 = 328,230/x
  3. Step 3: Cross multiply
    206,940x = 328,230 × 328,230
  4. Step 4: Simplify right side
    206,940x = 107,734,932,900
  5. Step 5: Solve for x
    x = 107,734,932,900/206,940
  6. Step 6: Final answer
    x = 520,609.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.