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Finding the Third Proportional to 4,752.56 and 11,014.03

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Solution

The third proportional to 4,752.56 and 11,014.03 is: 25,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.56 : 11,014.03 = 11,014.03 : x
  2. Step 2: Convert to fraction form
    4,752.56/11,014.03 = 11,014.03/x
  3. Step 3: Cross multiply
    4,752.56x = 11,014.03 × 11,014.03
  4. Step 4: Simplify right side
    4,752.56x = 121,308,884.38
  5. Step 5: Solve for x
    x = 121,308,884.38/4,752.56
  6. Step 6: Final answer
    x = 25,524.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.