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Finding the Third Proportional to 92,324.50 and 204,025

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Solution

The third proportional to 92,324.50 and 204,025 is: 450,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,324.50 : 204,025 = 204,025 : x
  2. Step 2: Convert to fraction form
    92,324.50/204,025 = 204,025/x
  3. Step 3: Cross multiply
    92,324.50x = 204,025 × 204,025
  4. Step 4: Simplify right side
    92,324.50x = 41,626,200,625
  5. Step 5: Solve for x
    x = 41,626,200,625/92,324.50
  6. Step 6: Final answer
    x = 450,868.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.