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Finding the Third Proportional to 892.27 and 1,639.30

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Solution

The third proportional to 892.27 and 1,639.30 is: 3,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.27 : 1,639.30 = 1,639.30 : x
  2. Step 2: Convert to fraction form
    892.27/1,639.30 = 1,639.30/x
  3. Step 3: Cross multiply
    892.27x = 1,639.30 × 1,639.30
  4. Step 4: Simplify right side
    892.27x = 2,687,307.05
  5. Step 5: Solve for x
    x = 2,687,307.05/892.27
  6. Step 6: Final answer
    x = 3,011.78

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.