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Finding the Third Proportional to 20.23 and 45.68

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Solution

The third proportional to 20.23 and 45.68 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 45.68 = 45.68 : x
  2. Step 2: Convert to fraction form
    20.23/45.68 = 45.68/x
  3. Step 3: Cross multiply
    20.23x = 45.68 × 45.68
  4. Step 4: Simplify right side
    20.23x = 2,086.63
  5. Step 5: Solve for x
    x = 2,086.63/20.23
  6. Step 6: Final answer
    x = 103.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.