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Finding the Third Proportional to 4.78 and 7.56

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Solution

The third proportional to 4.78 and 7.56 is: 11.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.78 : 7.56 = 7.56 : x
  2. Step 2: Convert to fraction form
    4.78/7.56 = 7.56/x
  3. Step 3: Cross multiply
    4.78x = 7.56 × 7.56
  4. Step 4: Simplify right side
    4.78x = 57.19
  5. Step 5: Solve for x
    x = 57.19/4.78
  6. Step 6: Final answer
    x = 11.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.