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Finding the Third Proportional to 4.32 and 9.32

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Solution

The third proportional to 4.32 and 9.32 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.32 : 9.32 = 9.32 : x
  2. Step 2: Convert to fraction form
    4.32/9.32 = 9.32/x
  3. Step 3: Cross multiply
    4.32x = 9.32 × 9.32
  4. Step 4: Simplify right side
    4.32x = 86.80
  5. Step 5: Solve for x
    x = 86.80/4.32
  6. Step 6: Final answer
    x = 20.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.