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Finding the Third Proportional to 206,380 and 318,981

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Solution

The third proportional to 206,380 and 318,981 is: 493,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,380 : 318,981 = 318,981 : x
  2. Step 2: Convert to fraction form
    206,380/318,981 = 318,981/x
  3. Step 3: Cross multiply
    206,380x = 318,981 × 318,981
  4. Step 4: Simplify right side
    206,380x = 101,748,878,361
  5. Step 5: Solve for x
    x = 101,748,878,361/206,380
  6. Step 6: Final answer
    x = 493,017.14

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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.