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Finding the Third Proportional to 5,109.75 and 9,974.25

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Solution

The third proportional to 5,109.75 and 9,974.25 is: 19,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.75 : 9,974.25 = 9,974.25 : x
  2. Step 2: Convert to fraction form
    5,109.75/9,974.25 = 9,974.25/x
  3. Step 3: Cross multiply
    5,109.75x = 9,974.25 × 9,974.25
  4. Step 4: Simplify right side
    5,109.75x = 99,485,663.06
  5. Step 5: Solve for x
    x = 99,485,663.06/5,109.75
  6. Step 6: Final answer
    x = 19,469.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.