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Finding the Third Proportional to 132,288 and 198,732

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Solution

The third proportional to 132,288 and 198,732 is: 298,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,288 : 198,732 = 198,732 : x
  2. Step 2: Convert to fraction form
    132,288/198,732 = 198,732/x
  3. Step 3: Cross multiply
    132,288x = 198,732 × 198,732
  4. Step 4: Simplify right side
    132,288x = 39,494,407,824
  5. Step 5: Solve for x
    x = 39,494,407,824/132,288
  6. Step 6: Final answer
    x = 298,548.68

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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.