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Finding the Third Proportional to 4.68 and 6.72

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Solution

The third proportional to 4.68 and 6.72 is: 9.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.68 : 6.72 = 6.72 : x
  2. Step 2: Convert to fraction form
    4.68/6.72 = 6.72/x
  3. Step 3: Cross multiply
    4.68x = 6.72 × 6.72
  4. Step 4: Simplify right side
    4.68x = 45.12
  5. Step 5: Solve for x
    x = 45.12/4.68
  6. Step 6: Final answer
    x = 9.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.