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Finding the Third Proportional to 2.32 and 4.43

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Solution

The third proportional to 2.32 and 4.43 is: 8.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 4.43 = 4.43 : x
  2. Step 2: Convert to fraction form
    2.32/4.43 = 4.43/x
  3. Step 3: Cross multiply
    2.32x = 4.43 × 4.43
  4. Step 4: Simplify right side
    2.32x = 19.62
  5. Step 5: Solve for x
    x = 19.62/2.32
  6. Step 6: Final answer
    x = 8.46

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.