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Finding the Third Proportional to 616.78 and 1,336.13

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Solution

The third proportional to 616.78 and 1,336.13 is: 2,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.78 : 1,336.13 = 1,336.13 : x
  2. Step 2: Convert to fraction form
    616.78/1,336.13 = 1,336.13/x
  3. Step 3: Cross multiply
    616.78x = 1,336.13 × 1,336.13
  4. Step 4: Simplify right side
    616.78x = 1,785,230.02
  5. Step 5: Solve for x
    x = 1,785,230.02/616.78
  6. Step 6: Final answer
    x = 2,894.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.