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Finding the Third Proportional to 3.06 and 4.72

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Solution

The third proportional to 3.06 and 4.72 is: 7.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.72 = 4.72 : x
  2. Step 2: Convert to fraction form
    3.06/4.72 = 4.72/x
  3. Step 3: Cross multiply
    3.06x = 4.72 × 4.72
  4. Step 4: Simplify right side
    3.06x = 22.23
  5. Step 5: Solve for x
    x = 22.23/3.06
  6. Step 6: Final answer
    x = 7.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.