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Finding the Third Proportional to 200,932 and 313,542

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Solution

The third proportional to 200,932 and 313,542 is: 489,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932 : 313,542 = 313,542 : x
  2. Step 2: Convert to fraction form
    200,932/313,542 = 313,542/x
  3. Step 3: Cross multiply
    200,932x = 313,542 × 313,542
  4. Step 4: Simplify right side
    200,932x = 98,308,585,764
  5. Step 5: Solve for x
    x = 98,308,585,764/200,932
  6. Step 6: Final answer
    x = 489,262.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.