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Finding the Third Proportional to 91,867.50 and 198,315

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Solution

The third proportional to 91,867.50 and 198,315 is: 428,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,867.50 : 198,315 = 198,315 : x
  2. Step 2: Convert to fraction form
    91,867.50/198,315 = 198,315/x
  3. Step 3: Cross multiply
    91,867.50x = 198,315 × 198,315
  4. Step 4: Simplify right side
    91,867.50x = 39,328,839,225
  5. Step 5: Solve for x
    x = 39,328,839,225/91,867.50
  6. Step 6: Final answer
    x = 428,103.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.