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Finding the Third Proportional to 3,177 and 4,819

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Solution

The third proportional to 3,177 and 4,819 is: 7,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,819 = 4,819 : x
  2. Step 2: Convert to fraction form
    3,177/4,819 = 4,819/x
  3. Step 3: Cross multiply
    3,177x = 4,819 × 4,819
  4. Step 4: Simplify right side
    3,177x = 23,222,761
  5. Step 5: Solve for x
    x = 23,222,761/3,177
  6. Step 6: Final answer
    x = 7,309.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.