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Finding the Third Proportional to 286.19 and 616.63

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Solution

The third proportional to 286.19 and 616.63 is: 1,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 616.63 = 616.63 : x
  2. Step 2: Convert to fraction form
    286.19/616.63 = 616.63/x
  3. Step 3: Cross multiply
    286.19x = 616.63 × 616.63
  4. Step 4: Simplify right side
    286.19x = 380,226.39
  5. Step 5: Solve for x
    x = 380,226.39/286.19
  6. Step 6: Final answer
    x = 1,328.59

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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.