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Finding the Third Proportional to 378.42 and 816.56

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Solution

The third proportional to 378.42 and 816.56 is: 1,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 816.56 = 816.56 : x
  2. Step 2: Convert to fraction form
    378.42/816.56 = 816.56/x
  3. Step 3: Cross multiply
    378.42x = 816.56 × 816.56
  4. Step 4: Simplify right side
    378.42x = 666,774.32
  5. Step 5: Solve for x
    x = 666,774.32/378.42
  6. Step 6: Final answer
    x = 1,761.99

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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.