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Finding the Third Proportional to 102.56 and 153.84

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Solution

The third proportional to 102.56 and 153.84 is: 230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 153.84 = 153.84 : x
  2. Step 2: Convert to fraction form
    102.56/153.84 = 153.84/x
  3. Step 3: Cross multiply
    102.56x = 153.84 × 153.84
  4. Step 4: Simplify right side
    102.56x = 23,667.90
  5. Step 5: Solve for x
    x = 23,667.90/102.56
  6. Step 6: Final answer
    x = 230.77

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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.