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Finding the Third Proportional to 203.24 and 314.56

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Solution

The third proportional to 203.24 and 314.56 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 314.56 = 314.56 : x
  2. Step 2: Convert to fraction form
    203.24/314.56 = 314.56/x
  3. Step 3: Cross multiply
    203.24x = 314.56 × 314.56
  4. Step 4: Simplify right side
    203.24x = 98,948.34
  5. Step 5: Solve for x
    x = 98,948.34/203.24
  6. Step 6: Final answer
    x = 486.86

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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.