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Finding the Third Proportional to 175.75 and 419.38

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Solution

The third proportional to 175.75 and 419.38 is: 1,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 419.38 = 419.38 : x
  2. Step 2: Convert to fraction form
    175.75/419.38 = 419.38/x
  3. Step 3: Cross multiply
    175.75x = 419.38 × 419.38
  4. Step 4: Simplify right side
    175.75x = 175,875.39
  5. Step 5: Solve for x
    x = 175,875.39/175.75
  6. Step 6: Final answer
    x = 1,000.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.