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Finding the Third Proportional to 349.69 and 765.75

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Solution

The third proportional to 349.69 and 765.75 is: 1,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.69 : 765.75 = 765.75 : x
  2. Step 2: Convert to fraction form
    349.69/765.75 = 765.75/x
  3. Step 3: Cross multiply
    349.69x = 765.75 × 765.75
  4. Step 4: Simplify right side
    349.69x = 586,373.06
  5. Step 5: Solve for x
    x = 586,373.06/349.69
  6. Step 6: Final answer
    x = 1,676.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.