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Finding the Third Proportional to 324.69 and 503.56

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Solution

The third proportional to 324.69 and 503.56 is: 780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.69 : 503.56 = 503.56 : x
  2. Step 2: Convert to fraction form
    324.69/503.56 = 503.56/x
  3. Step 3: Cross multiply
    324.69x = 503.56 × 503.56
  4. Step 4: Simplify right side
    324.69x = 253,575.19
  5. Step 5: Solve for x
    x = 253,575.19/324.69
  6. Step 6: Final answer
    x = 780.98

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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.