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Finding the Third Proportional to 7.78 and 14.43

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Solution

The third proportional to 7.78 and 14.43 is: 26.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.78 : 14.43 = 14.43 : x
  2. Step 2: Convert to fraction form
    7.78/14.43 = 14.43/x
  3. Step 3: Cross multiply
    7.78x = 14.43 × 14.43
  4. Step 4: Simplify right side
    7.78x = 208.30
  5. Step 5: Solve for x
    x = 208.30/7.78
  6. Step 6: Final answer
    x = 26.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.