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Finding the Third Proportional to 902.56 and 2,000.69

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Solution

The third proportional to 902.56 and 2,000.69 is: 4,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 2,000.69 = 2,000.69 : x
  2. Step 2: Convert to fraction form
    902.56/2,000.69 = 2,000.69/x
  3. Step 3: Cross multiply
    902.56x = 2,000.69 × 2,000.69
  4. Step 4: Simplify right side
    902.56x = 4,002,750.47
  5. Step 5: Solve for x
    x = 4,002,750.47/902.56
  6. Step 6: Final answer
    x = 4,434.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.