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Finding the Third Proportional to 188.58 and 282.71

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Solution

The third proportional to 188.58 and 282.71 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.58 : 282.71 = 282.71 : x
  2. Step 2: Convert to fraction form
    188.58/282.71 = 282.71/x
  3. Step 3: Cross multiply
    188.58x = 282.71 × 282.71
  4. Step 4: Simplify right side
    188.58x = 79,924.37
  5. Step 5: Solve for x
    x = 79,924.37/188.58
  6. Step 6: Final answer
    x = 423.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.