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Finding the Third Proportional to 6,289.50 and 9,251.25

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Solution

The third proportional to 6,289.50 and 9,251.25 is: 13,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.50 : 9,251.25 = 9,251.25 : x
  2. Step 2: Convert to fraction form
    6,289.50/9,251.25 = 9,251.25/x
  3. Step 3: Cross multiply
    6,289.50x = 9,251.25 × 9,251.25
  4. Step 4: Simplify right side
    6,289.50x = 85,585,626.56
  5. Step 5: Solve for x
    x = 85,585,626.56/6,289.50
  6. Step 6: Final answer
    x = 13,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.