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Finding the Third Proportional to 352.41 and 544.78

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Solution

The third proportional to 352.41 and 544.78 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.41 : 544.78 = 544.78 : x
  2. Step 2: Convert to fraction form
    352.41/544.78 = 544.78/x
  3. Step 3: Cross multiply
    352.41x = 544.78 × 544.78
  4. Step 4: Simplify right side
    352.41x = 296,786.61
  5. Step 5: Solve for x
    x = 296,786.61/352.41
  6. Step 6: Final answer
    x = 842.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.