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Finding the Third Proportional to 203.13 and 310.39

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Solution

The third proportional to 203.13 and 310.39 is: 474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 310.39 = 310.39 : x
  2. Step 2: Convert to fraction form
    203.13/310.39 = 310.39/x
  3. Step 3: Cross multiply
    203.13x = 310.39 × 310.39
  4. Step 4: Simplify right side
    203.13x = 96,344.77
  5. Step 5: Solve for x
    x = 96,344.77/203.13
  6. Step 6: Final answer
    x = 474.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.