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Finding the Third Proportional to 47.29 and 105.64

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Solution

The third proportional to 47.29 and 105.64 is: 236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 105.64 = 105.64 : x
  2. Step 2: Convert to fraction form
    47.29/105.64 = 105.64/x
  3. Step 3: Cross multiply
    47.29x = 105.64 × 105.64
  4. Step 4: Simplify right side
    47.29x = 11,160.77
  5. Step 5: Solve for x
    x = 11,160.77/47.29
  6. Step 6: Final answer
    x = 236.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.