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Finding the Third Proportional to 53.75 and 84.25

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Solution

The third proportional to 53.75 and 84.25 is: 132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 84.25 = 84.25 : x
  2. Step 2: Convert to fraction form
    53.75/84.25 = 84.25/x
  3. Step 3: Cross multiply
    53.75x = 84.25 × 84.25
  4. Step 4: Simplify right side
    53.75x = 7,098.06
  5. Step 5: Solve for x
    x = 7,098.06/53.75
  6. Step 6: Final answer
    x = 132.06

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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.