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Finding the Third Proportional to 31.56 and 66.44

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Solution

The third proportional to 31.56 and 66.44 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 66.44 = 66.44 : x
  2. Step 2: Convert to fraction form
    31.56/66.44 = 66.44/x
  3. Step 3: Cross multiply
    31.56x = 66.44 × 66.44
  4. Step 4: Simplify right side
    31.56x = 4,413.94
  5. Step 5: Solve for x
    x = 4,413.94/31.56
  6. Step 6: Final answer
    x = 139.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.