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Finding the Third Proportional to 5,505 and 13,576.50

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Solution

The third proportional to 5,505 and 13,576.50 is: 33,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505 : 13,576.50 = 13,576.50 : x
  2. Step 2: Convert to fraction form
    5,505/13,576.50 = 13,576.50/x
  3. Step 3: Cross multiply
    5,505x = 13,576.50 × 13,576.50
  4. Step 4: Simplify right side
    5,505x = 184,321,352.25
  5. Step 5: Solve for x
    x = 184,321,352.25/5,505
  6. Step 6: Final answer
    x = 33,482.53

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.