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Finding the Third Proportional to 72.84 and 153.84

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Solution

The third proportional to 72.84 and 153.84 is: 324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 153.84 = 153.84 : x
  2. Step 2: Convert to fraction form
    72.84/153.84 = 153.84/x
  3. Step 3: Cross multiply
    72.84x = 153.84 × 153.84
  4. Step 4: Simplify right side
    72.84x = 23,667.90
  5. Step 5: Solve for x
    x = 23,667.90/72.84
  6. Step 6: Final answer
    x = 324.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.