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Finding the Third Proportional to 8,253 and 11,072.25

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Solution

The third proportional to 8,253 and 11,072.25 is: 14,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 11,072.25 = 11,072.25 : x
  2. Step 2: Convert to fraction form
    8,253/11,072.25 = 11,072.25/x
  3. Step 3: Cross multiply
    8,253x = 11,072.25 × 11,072.25
  4. Step 4: Simplify right side
    8,253x = 122,594,720.06
  5. Step 5: Solve for x
    x = 122,594,720.06/8,253
  6. Step 6: Final answer
    x = 14,854.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.