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Finding the Third Proportional to 38.18 and 53.64

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Solution

The third proportional to 38.18 and 53.64 is: 75.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.18 : 53.64 = 53.64 : x
  2. Step 2: Convert to fraction form
    38.18/53.64 = 53.64/x
  3. Step 3: Cross multiply
    38.18x = 53.64 × 53.64
  4. Step 4: Simplify right side
    38.18x = 2,877.21
  5. Step 5: Solve for x
    x = 2,877.21/38.18
  6. Step 6: Final answer
    x = 75.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.