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Finding the Third Proportional to 157.57 and 203.13

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Solution

The third proportional to 157.57 and 203.13 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 203.13 = 203.13 : x
  2. Step 2: Convert to fraction form
    157.57/203.13 = 203.13/x
  3. Step 3: Cross multiply
    157.57x = 203.13 × 203.13
  4. Step 4: Simplify right side
    157.57x = 41,262.94
  5. Step 5: Solve for x
    x = 41,262.94/157.57
  6. Step 6: Final answer
    x = 261.87

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.