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Finding the Third Proportional to 198,774 and 397,386

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Solution

The third proportional to 198,774 and 397,386 is: 794,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 397,386 = 397,386 : x
  2. Step 2: Convert to fraction form
    198,774/397,386 = 397,386/x
  3. Step 3: Cross multiply
    198,774x = 397,386 × 397,386
  4. Step 4: Simplify right side
    198,774x = 157,915,632,996
  5. Step 5: Solve for x
    x = 157,915,632,996/198,774
  6. Step 6: Final answer
    x = 794,448.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.