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Finding the Third Proportional to 387.44 and 843.22

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Solution

The third proportional to 387.44 and 843.22 is: 1,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.44 : 843.22 = 843.22 : x
  2. Step 2: Convert to fraction form
    387.44/843.22 = 843.22/x
  3. Step 3: Cross multiply
    387.44x = 843.22 × 843.22
  4. Step 4: Simplify right side
    387.44x = 711,024.45
  5. Step 5: Solve for x
    x = 711,024.45/387.44
  6. Step 6: Final answer
    x = 1,835.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.