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Finding the Third Proportional to 7,438.13 and 11,121.56

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Solution

The third proportional to 7,438.13 and 11,121.56 is: 16,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.13 : 11,121.56 = 11,121.56 : x
  2. Step 2: Convert to fraction form
    7,438.13/11,121.56 = 11,121.56/x
  3. Step 3: Cross multiply
    7,438.13x = 11,121.56 × 11,121.56
  4. Step 4: Simplify right side
    7,438.13x = 123,689,152.44
  5. Step 5: Solve for x
    x = 123,689,152.44/7,438.13
  6. Step 6: Final answer
    x = 16,629.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.