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Finding the Third Proportional to 547.38 and 1,216.38

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Solution

The third proportional to 547.38 and 1,216.38 is: 2,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 1,216.38 = 1,216.38 : x
  2. Step 2: Convert to fraction form
    547.38/1,216.38 = 1,216.38/x
  3. Step 3: Cross multiply
    547.38x = 1,216.38 × 1,216.38
  4. Step 4: Simplify right side
    547.38x = 1,479,568.14
  5. Step 5: Solve for x
    x = 1,479,568.14/547.38
  6. Step 6: Final answer
    x = 2,703.02

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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.