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Finding the Third Proportional to 2.78 and 5.93

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Solution

The third proportional to 2.78 and 5.93 is: 12.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 5.93 = 5.93 : x
  2. Step 2: Convert to fraction form
    2.78/5.93 = 5.93/x
  3. Step 3: Cross multiply
    2.78x = 5.93 × 5.93
  4. Step 4: Simplify right side
    2.78x = 35.20
  5. Step 5: Solve for x
    x = 35.20/2.78
  6. Step 6: Final answer
    x = 12.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.