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Finding the Third Proportional to 317.75 and 493.19

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Solution

The third proportional to 317.75 and 493.19 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 493.19 = 493.19 : x
  2. Step 2: Convert to fraction form
    317.75/493.19 = 493.19/x
  3. Step 3: Cross multiply
    317.75x = 493.19 × 493.19
  4. Step 4: Simplify right side
    317.75x = 243,233.91
  5. Step 5: Solve for x
    x = 243,233.91/317.75
  6. Step 6: Final answer
    x = 765.49

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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.