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Finding the Third Proportional to 203.31 and 307.59

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Solution

The third proportional to 203.31 and 307.59 is: 465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.31 : 307.59 = 307.59 : x
  2. Step 2: Convert to fraction form
    203.31/307.59 = 307.59/x
  3. Step 3: Cross multiply
    203.31x = 307.59 × 307.59
  4. Step 4: Simplify right side
    203.31x = 94,613.92
  5. Step 5: Solve for x
    x = 94,613.92/203.31
  6. Step 6: Final answer
    x = 465.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.