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Finding the Third Proportional to 198.66 and 425.77

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Solution

The third proportional to 198.66 and 425.77 is: 912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.66 : 425.77 = 425.77 : x
  2. Step 2: Convert to fraction form
    198.66/425.77 = 425.77/x
  3. Step 3: Cross multiply
    198.66x = 425.77 × 425.77
  4. Step 4: Simplify right side
    198.66x = 181,276.37
  5. Step 5: Solve for x
    x = 181,276.37/198.66
  6. Step 6: Final answer
    x = 912.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.