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Finding the Third Proportional to 102.73 and 153.71

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Solution

The third proportional to 102.73 and 153.71 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.73 : 153.71 = 153.71 : x
  2. Step 2: Convert to fraction form
    102.73/153.71 = 153.71/x
  3. Step 3: Cross multiply
    102.73x = 153.71 × 153.71
  4. Step 4: Simplify right side
    102.73x = 23,628.25
  5. Step 5: Solve for x
    x = 23,628.25/102.73
  6. Step 6: Final answer
    x = 230.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.