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Finding the Third Proportional to 10.49 and 21.95

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Solution

The third proportional to 10.49 and 21.95 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.49 : 21.95 = 21.95 : x
  2. Step 2: Convert to fraction form
    10.49/21.95 = 21.95/x
  3. Step 3: Cross multiply
    10.49x = 21.95 × 21.95
  4. Step 4: Simplify right side
    10.49x = 481.83
  5. Step 5: Solve for x
    x = 481.83/10.49
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.