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Finding the Third Proportional to 205.31 and 317.81

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Solution

The third proportional to 205.31 and 317.81 is: 491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 317.81 = 317.81 : x
  2. Step 2: Convert to fraction form
    205.31/317.81 = 317.81/x
  3. Step 3: Cross multiply
    205.31x = 317.81 × 317.81
  4. Step 4: Simplify right side
    205.31x = 101,004.79
  5. Step 5: Solve for x
    x = 101,004.79/205.31
  6. Step 6: Final answer
    x = 491.96

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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.