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Finding the Third Proportional to 11,137.50 and 13,189.50

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Solution

The third proportional to 11,137.50 and 13,189.50 is: 15,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.50 : 13,189.50 = 13,189.50 : x
  2. Step 2: Convert to fraction form
    11,137.50/13,189.50 = 13,189.50/x
  3. Step 3: Cross multiply
    11,137.50x = 13,189.50 × 13,189.50
  4. Step 4: Simplify right side
    11,137.50x = 173,962,910.25
  5. Step 5: Solve for x
    x = 173,962,910.25/11,137.50
  6. Step 6: Final answer
    x = 15,619.57

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.