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Finding the Third Proportional to 279.19 and 418.22

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Solution

The third proportional to 279.19 and 418.22 is: 626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 418.22 = 418.22 : x
  2. Step 2: Convert to fraction form
    279.19/418.22 = 418.22/x
  3. Step 3: Cross multiply
    279.19x = 418.22 × 418.22
  4. Step 4: Simplify right side
    279.19x = 174,906.92
  5. Step 5: Solve for x
    x = 174,906.92/279.19
  6. Step 6: Final answer
    x = 626.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.