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Finding the Third Proportional to 28.69 and 47.14

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Solution

The third proportional to 28.69 and 47.14 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.69 : 47.14 = 47.14 : x
  2. Step 2: Convert to fraction form
    28.69/47.14 = 47.14/x
  3. Step 3: Cross multiply
    28.69x = 47.14 × 47.14
  4. Step 4: Simplify right side
    28.69x = 2,222.61
  5. Step 5: Solve for x
    x = 2,222.61/28.69
  6. Step 6: Final answer
    x = 77.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.