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Finding the Third Proportional to 409.43 and 884.67

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Solution

The third proportional to 409.43 and 884.67 is: 1,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 884.67 = 884.67 : x
  2. Step 2: Convert to fraction form
    409.43/884.67 = 884.67/x
  3. Step 3: Cross multiply
    409.43x = 884.67 × 884.67
  4. Step 4: Simplify right side
    409.43x = 782,644.33
  5. Step 5: Solve for x
    x = 782,644.33/409.43
  6. Step 6: Final answer
    x = 1,911.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.