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Finding the Third Proportional to 4,540.50 and 11,774.25

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Solution

The third proportional to 4,540.50 and 11,774.25 is: 30,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.50 : 11,774.25 = 11,774.25 : x
  2. Step 2: Convert to fraction form
    4,540.50/11,774.25 = 11,774.25/x
  3. Step 3: Cross multiply
    4,540.50x = 11,774.25 × 11,774.25
  4. Step 4: Simplify right side
    4,540.50x = 138,632,963.06
  5. Step 5: Solve for x
    x = 138,632,963.06/4,540.50
  6. Step 6: Final answer
    x = 30,532.53

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.