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Finding the Third Proportional to 7,415 and 8,225

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Solution

The third proportional to 7,415 and 8,225 is: 9,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415 : 8,225 = 8,225 : x
  2. Step 2: Convert to fraction form
    7,415/8,225 = 8,225/x
  3. Step 3: Cross multiply
    7,415x = 8,225 × 8,225
  4. Step 4: Simplify right side
    7,415x = 67,650,625
  5. Step 5: Solve for x
    x = 67,650,625/7,415
  6. Step 6: Final answer
    x = 9,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.