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Finding the Third Proportional to 7,113.50 and 10,991.25

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Solution

The third proportional to 7,113.50 and 10,991.25 is: 16,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.50 : 10,991.25 = 10,991.25 : x
  2. Step 2: Convert to fraction form
    7,113.50/10,991.25 = 10,991.25/x
  3. Step 3: Cross multiply
    7,113.50x = 10,991.25 × 10,991.25
  4. Step 4: Simplify right side
    7,113.50x = 120,807,576.56
  5. Step 5: Solve for x
    x = 120,807,576.56/7,113.50
  6. Step 6: Final answer
    x = 16,982.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.