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Finding the Third Proportional to 91,538 and 198,028

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Solution

The third proportional to 91,538 and 198,028 is: 428,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,538 : 198,028 = 198,028 : x
  2. Step 2: Convert to fraction form
    91,538/198,028 = 198,028/x
  3. Step 3: Cross multiply
    91,538x = 198,028 × 198,028
  4. Step 4: Simplify right side
    91,538x = 39,215,088,784
  5. Step 5: Solve for x
    x = 39,215,088,784/91,538
  6. Step 6: Final answer
    x = 428,402.29

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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.