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Finding the Third Proportional to 613.36 and 816.23

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Solution

The third proportional to 613.36 and 816.23 is: 1,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 816.23 = 816.23 : x
  2. Step 2: Convert to fraction form
    613.36/816.23 = 816.23/x
  3. Step 3: Cross multiply
    613.36x = 816.23 × 816.23
  4. Step 4: Simplify right side
    613.36x = 666,238.55
  5. Step 5: Solve for x
    x = 666,238.55/613.36
  6. Step 6: Final answer
    x = 1,086.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.