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Finding the Third Proportional to 616.44 and 1,331.69

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Solution

The third proportional to 616.44 and 1,331.69 is: 2,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 1,331.69 = 1,331.69 : x
  2. Step 2: Convert to fraction form
    616.44/1,331.69 = 1,331.69/x
  3. Step 3: Cross multiply
    616.44x = 1,331.69 × 1,331.69
  4. Step 4: Simplify right side
    616.44x = 1,773,391.60
  5. Step 5: Solve for x
    x = 1,773,391.60/616.44
  6. Step 6: Final answer
    x = 2,876.84

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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.