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Finding the Third Proportional to 47.14 and 103.15

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Solution

The third proportional to 47.14 and 103.15 is: 225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 103.15 = 103.15 : x
  2. Step 2: Convert to fraction form
    47.14/103.15 = 103.15/x
  3. Step 3: Cross multiply
    47.14x = 103.15 × 103.15
  4. Step 4: Simplify right side
    47.14x = 10,639.60
  5. Step 5: Solve for x
    x = 10,639.60/47.14
  6. Step 6: Final answer
    x = 225.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.