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Finding the Third Proportional to 171.84 and 376.17

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Solution

The third proportional to 171.84 and 376.17 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 376.17 = 376.17 : x
  2. Step 2: Convert to fraction form
    171.84/376.17 = 376.17/x
  3. Step 3: Cross multiply
    171.84x = 376.17 × 376.17
  4. Step 4: Simplify right side
    171.84x = 141,505.28
  5. Step 5: Solve for x
    x = 141,505.28/171.84
  6. Step 6: Final answer
    x = 823.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.