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Finding the Third Proportional to 283.94 and 616.38

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Solution

The third proportional to 283.94 and 616.38 is: 1,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 616.38 = 616.38 : x
  2. Step 2: Convert to fraction form
    283.94/616.38 = 616.38/x
  3. Step 3: Cross multiply
    283.94x = 616.38 × 616.38
  4. Step 4: Simplify right side
    283.94x = 379,918.14
  5. Step 5: Solve for x
    x = 379,918.14/283.94
  6. Step 6: Final answer
    x = 1,338.03

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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.