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Finding the Third Proportional to 206,981 and 308,575

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Solution

The third proportional to 206,981 and 308,575 is: 460,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,981 : 308,575 = 308,575 : x
  2. Step 2: Convert to fraction form
    206,981/308,575 = 308,575/x
  3. Step 3: Cross multiply
    206,981x = 308,575 × 308,575
  4. Step 4: Simplify right side
    206,981x = 95,218,530,625
  5. Step 5: Solve for x
    x = 95,218,530,625/206,981
  6. Step 6: Final answer
    x = 460,035.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.