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Finding the Third Proportional to 356.94 and 404.19

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Solution

The third proportional to 356.94 and 404.19 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.94 : 404.19 = 404.19 : x
  2. Step 2: Convert to fraction form
    356.94/404.19 = 404.19/x
  3. Step 3: Cross multiply
    356.94x = 404.19 × 404.19
  4. Step 4: Simplify right side
    356.94x = 163,367.54
  5. Step 5: Solve for x
    x = 163,367.54/356.94
  6. Step 6: Final answer
    x = 457.69

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.