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Finding the Third Proportional to 4.31 and 9.75

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Solution

The third proportional to 4.31 and 9.75 is: 22.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.31 : 9.75 = 9.75 : x
  2. Step 2: Convert to fraction form
    4.31/9.75 = 9.75/x
  3. Step 3: Cross multiply
    4.31x = 9.75 × 9.75
  4. Step 4: Simplify right side
    4.31x = 95.06
  5. Step 5: Solve for x
    x = 95.06/4.31
  6. Step 6: Final answer
    x = 22.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.