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Finding the Third Proportional to 90,000 and 198,432

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Solution

The third proportional to 90,000 and 198,432 is: 437,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000 : 198,432 = 198,432 : x
  2. Step 2: Convert to fraction form
    90,000/198,432 = 198,432/x
  3. Step 3: Cross multiply
    90,000x = 198,432 × 198,432
  4. Step 4: Simplify right side
    90,000x = 39,375,258,624
  5. Step 5: Solve for x
    x = 39,375,258,624/90,000
  6. Step 6: Final answer
    x = 437,502.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.