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Finding the Third Proportional to 21.25 and 45.81

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Solution

The third proportional to 21.25 and 45.81 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.25 : 45.81 = 45.81 : x
  2. Step 2: Convert to fraction form
    21.25/45.81 = 45.81/x
  3. Step 3: Cross multiply
    21.25x = 45.81 × 45.81
  4. Step 4: Simplify right side
    21.25x = 2,098.79
  5. Step 5: Solve for x
    x = 2,098.79/21.25
  6. Step 6: Final answer
    x = 98.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.