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Finding the Third Proportional to 286.24 and 616.57

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Solution

The third proportional to 286.24 and 616.57 is: 1,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 616.57 = 616.57 : x
  2. Step 2: Convert to fraction form
    286.24/616.57 = 616.57/x
  3. Step 3: Cross multiply
    286.24x = 616.57 × 616.57
  4. Step 4: Simplify right side
    286.24x = 380,158.95
  5. Step 5: Solve for x
    x = 380,158.95/286.24
  6. Step 6: Final answer
    x = 1,328.10

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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.