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Finding the Third Proportional to 203.13 and 317.04

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Solution

The third proportional to 203.13 and 317.04 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 317.04 = 317.04 : x
  2. Step 2: Convert to fraction form
    203.13/317.04 = 317.04/x
  3. Step 3: Cross multiply
    203.13x = 317.04 × 317.04
  4. Step 4: Simplify right side
    203.13x = 100,513.77
  5. Step 5: Solve for x
    x = 100,513.77/203.13
  6. Step 6: Final answer
    x = 494.82

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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.