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Finding the Third Proportional to 9.77 and 20.55

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Solution

The third proportional to 9.77 and 20.55 is: 43.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.77 : 20.55 = 20.55 : x
  2. Step 2: Convert to fraction form
    9.77/20.55 = 20.55/x
  3. Step 3: Cross multiply
    9.77x = 20.55 × 20.55
  4. Step 4: Simplify right side
    9.77x = 422.17
  5. Step 5: Solve for x
    x = 422.17/9.77
  6. Step 6: Final answer
    x = 43.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.