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Finding the Third Proportional to 9.75 and 22.56

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Solution

The third proportional to 9.75 and 22.56 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 22.56 = 22.56 : x
  2. Step 2: Convert to fraction form
    9.75/22.56 = 22.56/x
  3. Step 3: Cross multiply
    9.75x = 22.56 × 22.56
  4. Step 4: Simplify right side
    9.75x = 509.07
  5. Step 5: Solve for x
    x = 509.07/9.75
  6. Step 6: Final answer
    x = 52.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.