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Finding the Third Proportional to 349.69 and 766.88

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Solution

The third proportional to 349.69 and 766.88 is: 1,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.69 : 766.88 = 766.88 : x
  2. Step 2: Convert to fraction form
    349.69/766.88 = 766.88/x
  3. Step 3: Cross multiply
    349.69x = 766.88 × 766.88
  4. Step 4: Simplify right side
    349.69x = 588,097.27
  5. Step 5: Solve for x
    x = 588,097.27/349.69
  6. Step 6: Final answer
    x = 1,681.78

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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.