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Finding the Third Proportional to 609.87 and 816.80

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Solution

The third proportional to 609.87 and 816.80 is: 1,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.87 : 816.80 = 816.80 : x
  2. Step 2: Convert to fraction form
    609.87/816.80 = 816.80/x
  3. Step 3: Cross multiply
    609.87x = 816.80 × 816.80
  4. Step 4: Simplify right side
    609.87x = 667,166.71
  5. Step 5: Solve for x
    x = 667,166.71/609.87
  6. Step 6: Final answer
    x = 1,093.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.