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Finding the Third Proportional to 91,746 and 200,976

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Solution

The third proportional to 91,746 and 200,976 is: 440,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746 : 200,976 = 200,976 : x
  2. Step 2: Convert to fraction form
    91,746/200,976 = 200,976/x
  3. Step 3: Cross multiply
    91,746x = 200,976 × 200,976
  4. Step 4: Simplify right side
    91,746x = 40,391,352,576
  5. Step 5: Solve for x
    x = 40,391,352,576/91,746
  6. Step 6: Final answer
    x = 440,251.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.