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Finding the Third Proportional to 5.78 and 7.76

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Solution

The third proportional to 5.78 and 7.76 is: 10.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 7.76 = 7.76 : x
  2. Step 2: Convert to fraction form
    5.78/7.76 = 7.76/x
  3. Step 3: Cross multiply
    5.78x = 7.76 × 7.76
  4. Step 4: Simplify right side
    5.78x = 60.27
  5. Step 5: Solve for x
    x = 60.27/5.78
  6. Step 6: Final answer
    x = 10.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.