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Finding the Third Proportional to 38.64 and 85.10

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Solution

The third proportional to 38.64 and 85.10 is: 187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 85.10 = 85.10 : x
  2. Step 2: Convert to fraction form
    38.64/85.10 = 85.10/x
  3. Step 3: Cross multiply
    38.64x = 85.10 × 85.10
  4. Step 4: Simplify right side
    38.64x = 7,241.33
  5. Step 5: Solve for x
    x = 7,241.33/38.64
  6. Step 6: Final answer
    x = 187.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.