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Finding the Third Proportional to 4.72 and 5.56

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Solution

The third proportional to 4.72 and 5.56 is: 6.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.72 : 5.56 = 5.56 : x
  2. Step 2: Convert to fraction form
    4.72/5.56 = 5.56/x
  3. Step 3: Cross multiply
    4.72x = 5.56 × 5.56
  4. Step 4: Simplify right side
    4.72x = 30.87
  5. Step 5: Solve for x
    x = 30.87/4.72
  6. Step 6: Final answer
    x = 6.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.