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Finding the Third Proportional to 206,621 and 319,282

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Solution

The third proportional to 206,621 and 319,282 is: 493,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,621 : 319,282 = 319,282 : x
  2. Step 2: Convert to fraction form
    206,621/319,282 = 319,282/x
  3. Step 3: Cross multiply
    206,621x = 319,282 × 319,282
  4. Step 4: Simplify right side
    206,621x = 101,940,995,524
  5. Step 5: Solve for x
    x = 101,940,995,524/206,621
  6. Step 6: Final answer
    x = 493,371.90

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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.