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Finding the Third Proportional to 84 and 109.38

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Solution

The third proportional to 84 and 109.38 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 109.38 = 109.38 : x
  2. Step 2: Convert to fraction form
    84/109.38 = 109.38/x
  3. Step 3: Cross multiply
    84x = 109.38 × 109.38
  4. Step 4: Simplify right side
    84x = 11,962.89
  5. Step 5: Solve for x
    x = 11,962.89/84
  6. Step 6: Final answer
    x = 142.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.