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Finding the Third Proportional to 278.13 and 655.38

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Solution

The third proportional to 278.13 and 655.38 is: 1,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.13 : 655.38 = 655.38 : x
  2. Step 2: Convert to fraction form
    278.13/655.38 = 655.38/x
  3. Step 3: Cross multiply
    278.13x = 655.38 × 655.38
  4. Step 4: Simplify right side
    278.13x = 429,516.39
  5. Step 5: Solve for x
    x = 429,516.39/278.13
  6. Step 6: Final answer
    x = 1,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.