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Finding the Third Proportional to 132,225.75 and 198,627.19

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Solution

The third proportional to 132,225.75 and 198,627.19 is: 298,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,225.75 : 198,627.19 = 198,627.19 : x
  2. Step 2: Convert to fraction form
    132,225.75/198,627.19 = 198,627.19/x
  3. Step 3: Cross multiply
    132,225.75x = 198,627.19 × 198,627.19
  4. Step 4: Simplify right side
    132,225.75x = 39,452,759,614.16
  5. Step 5: Solve for x
    x = 39,452,759,614.16/132,225.75
  6. Step 6: Final answer
    x = 298,374.25

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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.