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Finding the Third Proportional to 203.13 and 317.20

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Solution

The third proportional to 203.13 and 317.20 is: 495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 317.20 = 317.20 : x
  2. Step 2: Convert to fraction form
    203.13/317.20 = 317.20/x
  3. Step 3: Cross multiply
    203.13x = 317.20 × 317.20
  4. Step 4: Simplify right side
    203.13x = 100,614.11
  5. Step 5: Solve for x
    x = 100,614.11/203.13
  6. Step 6: Final answer
    x = 495.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.