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Finding the Third Proportional to 132,196 and 198,588

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Solution

The third proportional to 132,196 and 198,588 is: 298,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,196 : 198,588 = 198,588 : x
  2. Step 2: Convert to fraction form
    132,196/198,588 = 198,588/x
  3. Step 3: Cross multiply
    132,196x = 198,588 × 198,588
  4. Step 4: Simplify right side
    132,196x = 39,437,193,744
  5. Step 5: Solve for x
    x = 39,437,193,744/132,196
  6. Step 6: Final answer
    x = 298,323.65

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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.