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Finding the Third Proportional to 132,381.84 and 198,868.92

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Solution

The third proportional to 132,381.84 and 198,868.92 is: 298,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.84 : 198,868.92 = 198,868.92 : x
  2. Step 2: Convert to fraction form
    132,381.84/198,868.92 = 198,868.92/x
  3. Step 3: Cross multiply
    132,381.84x = 198,868.92 × 198,868.92
  4. Step 4: Simplify right side
    132,381.84x = 39,548,848,087.72
  5. Step 5: Solve for x
    x = 39,548,848,087.72/132,381.84
  6. Step 6: Final answer
    x = 298,748.28

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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.