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Finding the Third Proportional to 84.75 and 109.03

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Solution

The third proportional to 84.75 and 109.03 is: 140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 109.03 = 109.03 : x
  2. Step 2: Convert to fraction form
    84.75/109.03 = 109.03/x
  3. Step 3: Cross multiply
    84.75x = 109.03 × 109.03
  4. Step 4: Simplify right side
    84.75x = 11,887.81
  5. Step 5: Solve for x
    x = 11,887.81/84.75
  6. Step 6: Final answer
    x = 140.27

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.