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Finding the Third Proportional to 547.03 and 1,033.31

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Solution

The third proportional to 547.03 and 1,033.31 is: 1,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.03 : 1,033.31 = 1,033.31 : x
  2. Step 2: Convert to fraction form
    547.03/1,033.31 = 1,033.31/x
  3. Step 3: Cross multiply
    547.03x = 1,033.31 × 1,033.31
  4. Step 4: Simplify right side
    547.03x = 1,067,734.72
  5. Step 5: Solve for x
    x = 1,067,734.72/547.03
  6. Step 6: Final answer
    x = 1,951.87

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.