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Finding the Third Proportional to 5,232.09 and 10,902.09

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Solution

The third proportional to 5,232.09 and 10,902.09 is: 22,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.09 : 10,902.09 = 10,902.09 : x
  2. Step 2: Convert to fraction form
    5,232.09/10,902.09 = 10,902.09/x
  3. Step 3: Cross multiply
    5,232.09x = 10,902.09 × 10,902.09
  4. Step 4: Simplify right side
    5,232.09x = 118,855,648.13
  5. Step 5: Solve for x
    x = 118,855,648.13/5,232.09
  6. Step 6: Final answer
    x = 22,716.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.