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Finding the Third Proportional to 399 and 445.50

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Solution

The third proportional to 399 and 445.50 is: 497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399 : 445.50 = 445.50 : x
  2. Step 2: Convert to fraction form
    399/445.50 = 445.50/x
  3. Step 3: Cross multiply
    399x = 445.50 × 445.50
  4. Step 4: Simplify right side
    399x = 198,470.25
  5. Step 5: Solve for x
    x = 198,470.25/399
  6. Step 6: Final answer
    x = 497.42

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.