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Finding the Third Proportional to 349.75 and 545.38

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Solution

The third proportional to 349.75 and 545.38 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.75 : 545.38 = 545.38 : x
  2. Step 2: Convert to fraction form
    349.75/545.38 = 545.38/x
  3. Step 3: Cross multiply
    349.75x = 545.38 × 545.38
  4. Step 4: Simplify right side
    349.75x = 297,433.89
  5. Step 5: Solve for x
    x = 297,433.89/349.75
  6. Step 6: Final answer
    x = 850.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.