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Finding the Third Proportional to 132,166.13 and 198,289.69

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Solution

The third proportional to 132,166.13 and 198,289.69 is: 297,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,166.13 : 198,289.69 = 198,289.69 : x
  2. Step 2: Convert to fraction form
    132,166.13/198,289.69 = 198,289.69/x
  3. Step 3: Cross multiply
    132,166.13x = 198,289.69 × 198,289.69
  4. Step 4: Simplify right side
    132,166.13x = 39,318,800,168.85
  5. Step 5: Solve for x
    x = 39,318,800,168.85/132,166.13
  6. Step 6: Final answer
    x = 297,495.29

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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.