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Finding the Third Proportional to 447.97 and 902.35

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Solution

The third proportional to 447.97 and 902.35 is: 1,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 902.35 = 902.35 : x
  2. Step 2: Convert to fraction form
    447.97/902.35 = 902.35/x
  3. Step 3: Cross multiply
    447.97x = 902.35 × 902.35
  4. Step 4: Simplify right side
    447.97x = 814,237.46
  5. Step 5: Solve for x
    x = 814,237.46/447.97
  6. Step 6: Final answer
    x = 1,817.61

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.