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Finding the Third Proportional to 354.23 and 472.57

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Solution

The third proportional to 354.23 and 472.57 is: 630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 472.57 = 472.57 : x
  2. Step 2: Convert to fraction form
    354.23/472.57 = 472.57/x
  3. Step 3: Cross multiply
    354.23x = 472.57 × 472.57
  4. Step 4: Simplify right side
    354.23x = 223,322.70
  5. Step 5: Solve for x
    x = 223,322.70/354.23
  6. Step 6: Final answer
    x = 630.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.