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Finding the Third Proportional to 132,925.50 and 198,519

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Solution

The third proportional to 132,925.50 and 198,519 is: 296,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,925.50 : 198,519 = 198,519 : x
  2. Step 2: Convert to fraction form
    132,925.50/198,519 = 198,519/x
  3. Step 3: Cross multiply
    132,925.50x = 198,519 × 198,519
  4. Step 4: Simplify right side
    132,925.50x = 39,409,793,361
  5. Step 5: Solve for x
    x = 39,409,793,361/132,925.50
  6. Step 6: Final answer
    x = 296,480.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.