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Finding the Third Proportional to 132,218 and 198,615

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Solution

The third proportional to 132,218 and 198,615 is: 298,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,218 : 198,615 = 198,615 : x
  2. Step 2: Convert to fraction form
    132,218/198,615 = 198,615/x
  3. Step 3: Cross multiply
    132,218x = 198,615 × 198,615
  4. Step 4: Simplify right side
    132,218x = 39,447,918,225
  5. Step 5: Solve for x
    x = 39,447,918,225/132,218
  6. Step 6: Final answer
    x = 298,355.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.