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Finding the Third Proportional to 381.82 and 840.30

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Solution

The third proportional to 381.82 and 840.30 is: 1,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.82 : 840.30 = 840.30 : x
  2. Step 2: Convert to fraction form
    381.82/840.30 = 840.30/x
  3. Step 3: Cross multiply
    381.82x = 840.30 × 840.30
  4. Step 4: Simplify right side
    381.82x = 706,097.20
  5. Step 5: Solve for x
    x = 706,097.20/381.82
  6. Step 6: Final answer
    x = 1,849.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.