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Finding the Third Proportional to 552.38 and 1,192.78

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Solution

The third proportional to 552.38 and 1,192.78 is: 2,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 1,192.78 = 1,192.78 : x
  2. Step 2: Convert to fraction form
    552.38/1,192.78 = 1,192.78/x
  3. Step 3: Cross multiply
    552.38x = 1,192.78 × 1,192.78
  4. Step 4: Simplify right side
    552.38x = 1,422,727.11
  5. Step 5: Solve for x
    x = 1,422,727.11/552.38
  6. Step 6: Final answer
    x = 2,575.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.