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Finding the Third Proportional to 38.55 and 84.32

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Solution

The third proportional to 38.55 and 84.32 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.55 : 84.32 = 84.32 : x
  2. Step 2: Convert to fraction form
    38.55/84.32 = 84.32/x
  3. Step 3: Cross multiply
    38.55x = 84.32 × 84.32
  4. Step 4: Simplify right side
    38.55x = 7,110.24
  5. Step 5: Solve for x
    x = 7,110.24/38.55
  6. Step 6: Final answer
    x = 184.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.