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Finding the Third Proportional to 286.17 and 616.43

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Solution

The third proportional to 286.17 and 616.43 is: 1,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 616.43 = 616.43 : x
  2. Step 2: Convert to fraction form
    286.17/616.43 = 616.43/x
  3. Step 3: Cross multiply
    286.17x = 616.43 × 616.43
  4. Step 4: Simplify right side
    286.17x = 379,985.56
  5. Step 5: Solve for x
    x = 379,985.56/286.17
  6. Step 6: Final answer
    x = 1,327.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.