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Finding the Third Proportional to 18.32 and 37.60

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Solution

The third proportional to 18.32 and 37.60 is: 77.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.32 : 37.60 = 37.60 : x
  2. Step 2: Convert to fraction form
    18.32/37.60 = 37.60/x
  3. Step 3: Cross multiply
    18.32x = 37.60 × 37.60
  4. Step 4: Simplify right side
    18.32x = 1,413.99
  5. Step 5: Solve for x
    x = 1,413.99/18.32
  6. Step 6: Final answer
    x = 77.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.