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Finding the Third Proportional to 422.88 and 903.42

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Solution

The third proportional to 422.88 and 903.42 is: 1,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 903.42 = 903.42 : x
  2. Step 2: Convert to fraction form
    422.88/903.42 = 903.42/x
  3. Step 3: Cross multiply
    422.88x = 903.42 × 903.42
  4. Step 4: Simplify right side
    422.88x = 816,165.79
  5. Step 5: Solve for x
    x = 816,165.79/422.88
  6. Step 6: Final answer
    x = 1,930.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.