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Finding the Third Proportional to 206,386 and 285,180

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Solution

The third proportional to 206,386 and 285,180 is: 394,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,386 : 285,180 = 285,180 : x
  2. Step 2: Convert to fraction form
    206,386/285,180 = 285,180/x
  3. Step 3: Cross multiply
    206,386x = 285,180 × 285,180
  4. Step 4: Simplify right side
    206,386x = 81,327,632,400
  5. Step 5: Solve for x
    x = 81,327,632,400/206,386
  6. Step 6: Final answer
    x = 394,055.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.