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Finding the Third Proportional to 7,446.50 and 13,225

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Solution

The third proportional to 7,446.50 and 13,225 is: 23,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.50 : 13,225 = 13,225 : x
  2. Step 2: Convert to fraction form
    7,446.50/13,225 = 13,225/x
  3. Step 3: Cross multiply
    7,446.50x = 13,225 × 13,225
  4. Step 4: Simplify right side
    7,446.50x = 174,900,625
  5. Step 5: Solve for x
    x = 174,900,625/7,446.50
  6. Step 6: Final answer
    x = 23,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.