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Finding the Third Proportional to 53.94 and 84.69

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Solution

The third proportional to 53.94 and 84.69 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.94 : 84.69 = 84.69 : x
  2. Step 2: Convert to fraction form
    53.94/84.69 = 84.69/x
  3. Step 3: Cross multiply
    53.94x = 84.69 × 84.69
  4. Step 4: Simplify right side
    53.94x = 7,171.97
  5. Step 5: Solve for x
    x = 7,171.97/53.94
  6. Step 6: Final answer
    x = 132.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.