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Finding the Third Proportional to 378.50 and 822.22

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Solution

The third proportional to 378.50 and 822.22 is: 1,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 822.22 = 822.22 : x
  2. Step 2: Convert to fraction form
    378.50/822.22 = 822.22/x
  3. Step 3: Cross multiply
    378.50x = 822.22 × 822.22
  4. Step 4: Simplify right side
    378.50x = 676,043.67
  5. Step 5: Solve for x
    x = 676,043.67/378.50
  6. Step 6: Final answer
    x = 1,786.11

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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.