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Finding the Third Proportional to 198.70 and 431.58

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Solution

The third proportional to 198.70 and 431.58 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 431.58 = 431.58 : x
  2. Step 2: Convert to fraction form
    198.70/431.58 = 431.58/x
  3. Step 3: Cross multiply
    198.70x = 431.58 × 431.58
  4. Step 4: Simplify right side
    198.70x = 186,259.68
  5. Step 5: Solve for x
    x = 186,259.68/198.70
  6. Step 6: Final answer
    x = 937.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.