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Finding the Third Proportional to 422.93 and 638.09

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Solution

The third proportional to 422.93 and 638.09 is: 962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.93 : 638.09 = 638.09 : x
  2. Step 2: Convert to fraction form
    422.93/638.09 = 638.09/x
  3. Step 3: Cross multiply
    422.93x = 638.09 × 638.09
  4. Step 4: Simplify right side
    422.93x = 407,153.66
  5. Step 5: Solve for x
    x = 407,153.66/422.93
  6. Step 6: Final answer
    x = 962.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.