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Finding the Third Proportional to 20.83 and 29.86

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Solution

The third proportional to 20.83 and 29.86 is: 42.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.83 : 29.86 = 29.86 : x
  2. Step 2: Convert to fraction form
    20.83/29.86 = 29.86/x
  3. Step 3: Cross multiply
    20.83x = 29.86 × 29.86
  4. Step 4: Simplify right side
    20.83x = 891.38
  5. Step 5: Solve for x
    x = 891.38/20.83
  6. Step 6: Final answer
    x = 42.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.