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Finding the Third Proportional to 7,540.50 and 10,669.88

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Solution

The third proportional to 7,540.50 and 10,669.88 is: 15,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.50 : 10,669.88 = 10,669.88 : x
  2. Step 2: Convert to fraction form
    7,540.50/10,669.88 = 10,669.88/x
  3. Step 3: Cross multiply
    7,540.50x = 10,669.88 × 10,669.88
  4. Step 4: Simplify right side
    7,540.50x = 113,846,232.52
  5. Step 5: Solve for x
    x = 113,846,232.52/7,540.50
  6. Step 6: Final answer
    x = 15,097.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.