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Finding the Third Proportional to 5,551.50 and 11,821.88

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Solution

The third proportional to 5,551.50 and 11,821.88 is: 25,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.50 : 11,821.88 = 11,821.88 : x
  2. Step 2: Convert to fraction form
    5,551.50/11,821.88 = 11,821.88/x
  3. Step 3: Cross multiply
    5,551.50x = 11,821.88 × 11,821.88
  4. Step 4: Simplify right side
    5,551.50x = 139,756,728.52
  5. Step 5: Solve for x
    x = 139,756,728.52/5,551.50
  6. Step 6: Final answer
    x = 25,174.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.