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Finding the Third Proportional to 188.84 and 400.38

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Solution

The third proportional to 188.84 and 400.38 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.84 : 400.38 = 400.38 : x
  2. Step 2: Convert to fraction form
    188.84/400.38 = 400.38/x
  3. Step 3: Cross multiply
    188.84x = 400.38 × 400.38
  4. Step 4: Simplify right side
    188.84x = 160,300.14
  5. Step 5: Solve for x
    x = 160,300.14/188.84
  6. Step 6: Final answer
    x = 848.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.