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Finding the Third Proportional to 363.25 and 776.38

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Solution

The third proportional to 363.25 and 776.38 is: 1,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 776.38 = 776.38 : x
  2. Step 2: Convert to fraction form
    363.25/776.38 = 776.38/x
  3. Step 3: Cross multiply
    363.25x = 776.38 × 776.38
  4. Step 4: Simplify right side
    363.25x = 602,758.14
  5. Step 5: Solve for x
    x = 602,758.14/363.25
  6. Step 6: Final answer
    x = 1,659.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.