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Finding the Third Proportional to 5,109.75 and 11,172.09

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Solution

The third proportional to 5,109.75 and 11,172.09 is: 24,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.75 : 11,172.09 = 11,172.09 : x
  2. Step 2: Convert to fraction form
    5,109.75/11,172.09 = 11,172.09/x
  3. Step 3: Cross multiply
    5,109.75x = 11,172.09 × 11,172.09
  4. Step 4: Simplify right side
    5,109.75x = 124,815,678.76
  5. Step 5: Solve for x
    x = 124,815,678.76/5,109.75
  6. Step 6: Final answer
    x = 24,426.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.