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Finding the Third Proportional to 47.38 and 71.94

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Solution

The third proportional to 47.38 and 71.94 is: 109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.38 : 71.94 = 71.94 : x
  2. Step 2: Convert to fraction form
    47.38/71.94 = 71.94/x
  3. Step 3: Cross multiply
    47.38x = 71.94 × 71.94
  4. Step 4: Simplify right side
    47.38x = 5,175.00
  5. Step 5: Solve for x
    x = 5,175.00/47.38
  6. Step 6: Final answer
    x = 109.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.