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Finding the Third Proportional to 400.57 and 902.18

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Solution

The third proportional to 400.57 and 902.18 is: 2,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 902.18 = 902.18 : x
  2. Step 2: Convert to fraction form
    400.57/902.18 = 902.18/x
  3. Step 3: Cross multiply
    400.57x = 902.18 × 902.18
  4. Step 4: Simplify right side
    400.57x = 813,928.19
  5. Step 5: Solve for x
    x = 813,928.19/400.57
  6. Step 6: Final answer
    x = 2,031.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.