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Finding the Third Proportional to 206,446 and 319,065

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Solution

The third proportional to 206,446 and 319,065 is: 493,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,446 : 319,065 = 319,065 : x
  2. Step 2: Convert to fraction form
    206,446/319,065 = 319,065/x
  3. Step 3: Cross multiply
    206,446x = 319,065 × 319,065
  4. Step 4: Simplify right side
    206,446x = 101,802,474,225
  5. Step 5: Solve for x
    x = 101,802,474,225/206,446
  6. Step 6: Final answer
    x = 493,119.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.