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Finding the Third Proportional to 9.77 and 20.23

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Solution

The third proportional to 9.77 and 20.23 is: 41.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.77 : 20.23 = 20.23 : x
  2. Step 2: Convert to fraction form
    9.77/20.23 = 20.23/x
  3. Step 3: Cross multiply
    9.77x = 20.23 × 20.23
  4. Step 4: Simplify right side
    9.77x = 409.35
  5. Step 5: Solve for x
    x = 409.35/9.77
  6. Step 6: Final answer
    x = 41.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.