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Finding the Third Proportional to 11,504.53 and 25,618.78

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Solution

The third proportional to 11,504.53 and 25,618.78 is: 57,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.53 : 25,618.78 = 25,618.78 : x
  2. Step 2: Convert to fraction form
    11,504.53/25,618.78 = 25,618.78/x
  3. Step 3: Cross multiply
    11,504.53x = 25,618.78 × 25,618.78
  4. Step 4: Simplify right side
    11,504.53x = 656,321,952.74
  5. Step 5: Solve for x
    x = 656,321,952.74/11,504.53
  6. Step 6: Final answer
    x = 57,049.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.