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Finding the Third Proportional to 324.38 and 503.63

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Solution

The third proportional to 324.38 and 503.63 is: 781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.38 : 503.63 = 503.63 : x
  2. Step 2: Convert to fraction form
    324.38/503.63 = 503.63/x
  3. Step 3: Cross multiply
    324.38x = 503.63 × 503.63
  4. Step 4: Simplify right side
    324.38x = 253,638.14
  5. Step 5: Solve for x
    x = 253,638.14/324.38
  6. Step 6: Final answer
    x = 781.93

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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.