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Finding the Third Proportional to 5,121.56 and 10,805.06

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Solution

The third proportional to 5,121.56 and 10,805.06 is: 22,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.56 : 10,805.06 = 10,805.06 : x
  2. Step 2: Convert to fraction form
    5,121.56/10,805.06 = 10,805.06/x
  3. Step 3: Cross multiply
    5,121.56x = 10,805.06 × 10,805.06
  4. Step 4: Simplify right side
    5,121.56x = 116,749,375.63
  5. Step 5: Solve for x
    x = 116,749,375.63/5,121.56
  6. Step 6: Final answer
    x = 22,795.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.