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Finding the Third Proportional to 638.44 and 906.47

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Solution

The third proportional to 638.44 and 906.47 is: 1,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 906.47 = 906.47 : x
  2. Step 2: Convert to fraction form
    638.44/906.47 = 906.47/x
  3. Step 3: Cross multiply
    638.44x = 906.47 × 906.47
  4. Step 4: Simplify right side
    638.44x = 821,685.59
  5. Step 5: Solve for x
    x = 821,685.59/638.44
  6. Step 6: Final answer
    x = 1,287.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.