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Finding the Third Proportional to 1.78 and 9.56

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Solution

The third proportional to 1.78 and 9.56 is: 51.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 9.56 = 9.56 : x
  2. Step 2: Convert to fraction form
    1.78/9.56 = 9.56/x
  3. Step 3: Cross multiply
    1.78x = 9.56 × 9.56
  4. Step 4: Simplify right side
    1.78x = 91.44
  5. Step 5: Solve for x
    x = 91.44/1.78
  6. Step 6: Final answer
    x = 51.34

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Why These Related Problems?

These problems maintain the same ratio (5.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.