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Finding the Third Proportional to 300.74 and 400.17

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Solution

The third proportional to 300.74 and 400.17 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 400.17 = 400.17 : x
  2. Step 2: Convert to fraction form
    300.74/400.17 = 400.17/x
  3. Step 3: Cross multiply
    300.74x = 400.17 × 400.17
  4. Step 4: Simplify right side
    300.74x = 160,139.87
  5. Step 5: Solve for x
    x = 160,139.87/300.74
  6. Step 6: Final answer
    x = 532.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.