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Finding the Third Proportional to 207.42 and 301.71

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Solution

The third proportional to 207.42 and 301.71 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 301.71 = 301.71 : x
  2. Step 2: Convert to fraction form
    207.42/301.71 = 301.71/x
  3. Step 3: Cross multiply
    207.42x = 301.71 × 301.71
  4. Step 4: Simplify right side
    207.42x = 91,029.49
  5. Step 5: Solve for x
    x = 91,029.49/207.42
  6. Step 6: Final answer
    x = 438.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.