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Finding the Third Proportional to 47.69 and 114.47

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Solution

The third proportional to 47.69 and 114.47 is: 274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.69 : 114.47 = 114.47 : x
  2. Step 2: Convert to fraction form
    47.69/114.47 = 114.47/x
  3. Step 3: Cross multiply
    47.69x = 114.47 × 114.47
  4. Step 4: Simplify right side
    47.69x = 13,103.09
  5. Step 5: Solve for x
    x = 13,103.09/47.69
  6. Step 6: Final answer
    x = 274.77

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.