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Finding the Third Proportional to 363.55 and 519.22

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Solution

The third proportional to 363.55 and 519.22 is: 741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.55 : 519.22 = 519.22 : x
  2. Step 2: Convert to fraction form
    363.55/519.22 = 519.22/x
  3. Step 3: Cross multiply
    363.55x = 519.22 × 519.22
  4. Step 4: Simplify right side
    363.55x = 269,592.17
  5. Step 5: Solve for x
    x = 269,592.17/363.55
  6. Step 6: Final answer
    x = 741.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.