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Finding the Third Proportional to 10.25 and 22.56

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Solution

The third proportional to 10.25 and 22.56 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.25 : 22.56 = 22.56 : x
  2. Step 2: Convert to fraction form
    10.25/22.56 = 22.56/x
  3. Step 3: Cross multiply
    10.25x = 22.56 × 22.56
  4. Step 4: Simplify right side
    10.25x = 509.07
  5. Step 5: Solve for x
    x = 509.07/10.25
  6. Step 6: Final answer
    x = 49.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.