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Finding the Third Proportional to 7,391.25 and 8,889.75

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Solution

The third proportional to 7,391.25 and 8,889.75 is: 10,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.25 : 8,889.75 = 8,889.75 : x
  2. Step 2: Convert to fraction form
    7,391.25/8,889.75 = 8,889.75/x
  3. Step 3: Cross multiply
    7,391.25x = 8,889.75 × 8,889.75
  4. Step 4: Simplify right side
    7,391.25x = 79,027,655.06
  5. Step 5: Solve for x
    x = 79,027,655.06/7,391.25
  6. Step 6: Final answer
    x = 10,692.06

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.