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Finding the Third Proportional to 171.07 and 356.84

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Solution

The third proportional to 171.07 and 356.84 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.07 : 356.84 = 356.84 : x
  2. Step 2: Convert to fraction form
    171.07/356.84 = 356.84/x
  3. Step 3: Cross multiply
    171.07x = 356.84 × 356.84
  4. Step 4: Simplify right side
    171.07x = 127,331.89
  5. Step 5: Solve for x
    x = 127,331.89/171.07
  6. Step 6: Final answer
    x = 744.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.