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Finding the Third Proportional to 172 and 382.38

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Solution

The third proportional to 172 and 382.38 is: 850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172 : 382.38 = 382.38 : x
  2. Step 2: Convert to fraction form
    172/382.38 = 382.38/x
  3. Step 3: Cross multiply
    172x = 382.38 × 382.38
  4. Step 4: Simplify right side
    172x = 146,210.64
  5. Step 5: Solve for x
    x = 146,210.64/172
  6. Step 6: Final answer
    x = 850.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.