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Finding the Third Proportional to 324.21 and 502.84

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Solution

The third proportional to 324.21 and 502.84 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.21 : 502.84 = 502.84 : x
  2. Step 2: Convert to fraction form
    324.21/502.84 = 502.84/x
  3. Step 3: Cross multiply
    324.21x = 502.84 × 502.84
  4. Step 4: Simplify right side
    324.21x = 252,847.91
  5. Step 5: Solve for x
    x = 252,847.91/324.21
  6. Step 6: Final answer
    x = 779.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.