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Finding the Third Proportional to 318.73 and 504.88

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Solution

The third proportional to 318.73 and 504.88 is: 799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.73 : 504.88 = 504.88 : x
  2. Step 2: Convert to fraction form
    318.73/504.88 = 504.88/x
  3. Step 3: Cross multiply
    318.73x = 504.88 × 504.88
  4. Step 4: Simplify right side
    318.73x = 254,902.71
  5. Step 5: Solve for x
    x = 254,902.71/318.73
  6. Step 6: Final answer
    x = 799.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.