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Finding the Third Proportional to 188.66 and 411.49

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Solution

The third proportional to 188.66 and 411.49 is: 897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.66 : 411.49 = 411.49 : x
  2. Step 2: Convert to fraction form
    188.66/411.49 = 411.49/x
  3. Step 3: Cross multiply
    188.66x = 411.49 × 411.49
  4. Step 4: Simplify right side
    188.66x = 169,321.00
  5. Step 5: Solve for x
    x = 169,321.00/188.66
  6. Step 6: Final answer
    x = 897.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.