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Finding the Third Proportional to 91,357 and 199,315

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Solution

The third proportional to 91,357 and 199,315 is: 434,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,357 : 199,315 = 199,315 : x
  2. Step 2: Convert to fraction form
    91,357/199,315 = 199,315/x
  3. Step 3: Cross multiply
    91,357x = 199,315 × 199,315
  4. Step 4: Simplify right side
    91,357x = 39,726,469,225
  5. Step 5: Solve for x
    x = 39,726,469,225/91,357
  6. Step 6: Final answer
    x = 434,848.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.