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Finding the Third Proportional to 20.15 and 30.83

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Solution

The third proportional to 20.15 and 30.83 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.15 : 30.83 = 30.83 : x
  2. Step 2: Convert to fraction form
    20.15/30.83 = 30.83/x
  3. Step 3: Cross multiply
    20.15x = 30.83 × 30.83
  4. Step 4: Simplify right side
    20.15x = 950.48
  5. Step 5: Solve for x
    x = 950.48/20.15
  6. Step 6: Final answer
    x = 47.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.