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Finding the Third Proportional to 375.75 and 816.42

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Solution

The third proportional to 375.75 and 816.42 is: 1,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 816.42 = 816.42 : x
  2. Step 2: Convert to fraction form
    375.75/816.42 = 816.42/x
  3. Step 3: Cross multiply
    375.75x = 816.42 × 816.42
  4. Step 4: Simplify right side
    375.75x = 666,544.68
  5. Step 5: Solve for x
    x = 666,544.68/375.75
  6. Step 6: Final answer
    x = 1,773.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.