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Finding the Third Proportional to 30.75 and 49.13

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Solution

The third proportional to 30.75 and 49.13 is: 78.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 49.13 = 49.13 : x
  2. Step 2: Convert to fraction form
    30.75/49.13 = 49.13/x
  3. Step 3: Cross multiply
    30.75x = 49.13 × 49.13
  4. Step 4: Simplify right side
    30.75x = 2,413.27
  5. Step 5: Solve for x
    x = 2,413.27/30.75
  6. Step 6: Final answer
    x = 78.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.