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Finding the Third Proportional to 279.91 and 383.17

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Solution

The third proportional to 279.91 and 383.17 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 383.17 = 383.17 : x
  2. Step 2: Convert to fraction form
    279.91/383.17 = 383.17/x
  3. Step 3: Cross multiply
    279.91x = 383.17 × 383.17
  4. Step 4: Simplify right side
    279.91x = 146,817.69
  5. Step 5: Solve for x
    x = 146,817.69/279.91
  6. Step 6: Final answer
    x = 524.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.