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Finding the Third Proportional to 20.59 and 47.36

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Solution

The third proportional to 20.59 and 47.36 is: 108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.59 : 47.36 = 47.36 : x
  2. Step 2: Convert to fraction form
    20.59/47.36 = 47.36/x
  3. Step 3: Cross multiply
    20.59x = 47.36 × 47.36
  4. Step 4: Simplify right side
    20.59x = 2,243.21
  5. Step 5: Solve for x
    x = 2,243.21/20.59
  6. Step 6: Final answer
    x = 108.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.