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Finding the Third Proportional to 152.81 and 203.81

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Solution

The third proportional to 152.81 and 203.81 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 203.81 = 203.81 : x
  2. Step 2: Convert to fraction form
    152.81/203.81 = 203.81/x
  3. Step 3: Cross multiply
    152.81x = 203.81 × 203.81
  4. Step 4: Simplify right side
    152.81x = 41,539.54
  5. Step 5: Solve for x
    x = 41,539.54/152.81
  6. Step 6: Final answer
    x = 271.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.