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Finding the Third Proportional to 21.33 and 45.05

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Solution

The third proportional to 21.33 and 45.05 is: 95.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.33 : 45.05 = 45.05 : x
  2. Step 2: Convert to fraction form
    21.33/45.05 = 45.05/x
  3. Step 3: Cross multiply
    21.33x = 45.05 × 45.05
  4. Step 4: Simplify right side
    21.33x = 2,029.22
  5. Step 5: Solve for x
    x = 2,029.22/21.33
  6. Step 6: Final answer
    x = 95.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.