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Finding the Third Proportional to 198,779 and 308,132

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Solution

The third proportional to 198,779 and 308,132 is: 477,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,779 : 308,132 = 308,132 : x
  2. Step 2: Convert to fraction form
    198,779/308,132 = 308,132/x
  3. Step 3: Cross multiply
    198,779x = 308,132 × 308,132
  4. Step 4: Simplify right side
    198,779x = 94,945,329,424
  5. Step 5: Solve for x
    x = 94,945,329,424/198,779
  6. Step 6: Final answer
    x = 477,642.66

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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.