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Finding the Third Proportional to 188.47 and 299.85

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Solution

The third proportional to 188.47 and 299.85 is: 477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.47 : 299.85 = 299.85 : x
  2. Step 2: Convert to fraction form
    188.47/299.85 = 299.85/x
  3. Step 3: Cross multiply
    188.47x = 299.85 × 299.85
  4. Step 4: Simplify right side
    188.47x = 89,908.62
  5. Step 5: Solve for x
    x = 89,908.62/188.47
  6. Step 6: Final answer
    x = 477.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.