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Finding the Third Proportional to 4.66 and 7.32

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Solution

The third proportional to 4.66 and 7.32 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.66 : 7.32 = 7.32 : x
  2. Step 2: Convert to fraction form
    4.66/7.32 = 7.32/x
  3. Step 3: Cross multiply
    4.66x = 7.32 × 7.32
  4. Step 4: Simplify right side
    4.66x = 53.61
  5. Step 5: Solve for x
    x = 53.61/4.66
  6. Step 6: Final answer
    x = 11.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.