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Finding the Third Proportional to 198,774 and 424,338.75

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Solution

The third proportional to 198,774 and 424,338.75 is: 905,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 424,338.75 = 424,338.75 : x
  2. Step 2: Convert to fraction form
    198,774/424,338.75 = 424,338.75/x
  3. Step 3: Cross multiply
    198,774x = 424,338.75 × 424,338.75
  4. Step 4: Simplify right side
    198,774x = 180,063,374,751.56
  5. Step 5: Solve for x
    x = 180,063,374,751.56/198,774
  6. Step 6: Final answer
    x = 905,869.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.