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Finding the Third Proportional to 30,816 and 48,980

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Solution

The third proportional to 30,816 and 48,980 is: 77,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 48,980 = 48,980 : x
  2. Step 2: Convert to fraction form
    30,816/48,980 = 48,980/x
  3. Step 3: Cross multiply
    30,816x = 48,980 × 48,980
  4. Step 4: Simplify right side
    30,816x = 2,399,040,400
  5. Step 5: Solve for x
    x = 2,399,040,400/30,816
  6. Step 6: Final answer
    x = 77,850.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.