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Finding the Third Proportional to 638.44 and 903.45

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Solution

The third proportional to 638.44 and 903.45 is: 1,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 903.45 = 903.45 : x
  2. Step 2: Convert to fraction form
    638.44/903.45 = 903.45/x
  3. Step 3: Cross multiply
    638.44x = 903.45 × 903.45
  4. Step 4: Simplify right side
    638.44x = 816,213.43
  5. Step 5: Solve for x
    x = 816,213.43/638.44
  6. Step 6: Final answer
    x = 1,278.45

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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.