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Finding the Third Proportional to 349 and 488.50

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Solution

The third proportional to 349 and 488.50 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 488.50 = 488.50 : x
  2. Step 2: Convert to fraction form
    349/488.50 = 488.50/x
  3. Step 3: Cross multiply
    349x = 488.50 × 488.50
  4. Step 4: Simplify right side
    349x = 238,632.25
  5. Step 5: Solve for x
    x = 238,632.25/349
  6. Step 6: Final answer
    x = 683.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.