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Finding the Third Proportional to 84.38 and 120.66

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Solution

The third proportional to 84.38 and 120.66 is: 172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 120.66 = 120.66 : x
  2. Step 2: Convert to fraction form
    84.38/120.66 = 120.66/x
  3. Step 3: Cross multiply
    84.38x = 120.66 × 120.66
  4. Step 4: Simplify right side
    84.38x = 14,557.93
  5. Step 5: Solve for x
    x = 14,557.93/84.38
  6. Step 6: Final answer
    x = 172.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.