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Finding the Third Proportional to 5,198 and 7,852

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Solution

The third proportional to 5,198 and 7,852 is: 11,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 7,852 = 7,852 : x
  2. Step 2: Convert to fraction form
    5,198/7,852 = 7,852/x
  3. Step 3: Cross multiply
    5,198x = 7,852 × 7,852
  4. Step 4: Simplify right side
    5,198x = 61,653,904
  5. Step 5: Solve for x
    x = 61,653,904/5,198
  6. Step 6: Final answer
    x = 11,861.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.