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Finding the Third Proportional to 7,509.50 and 11,689

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Solution

The third proportional to 7,509.50 and 11,689 is: 18,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.50 : 11,689 = 11,689 : x
  2. Step 2: Convert to fraction form
    7,509.50/11,689 = 11,689/x
  3. Step 3: Cross multiply
    7,509.50x = 11,689 × 11,689
  4. Step 4: Simplify right side
    7,509.50x = 136,632,721
  5. Step 5: Solve for x
    x = 136,632,721/7,509.50
  6. Step 6: Final answer
    x = 18,194.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.