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Finding the Third Proportional to 345.75 and 766.31

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Solution

The third proportional to 345.75 and 766.31 is: 1,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 766.31 = 766.31 : x
  2. Step 2: Convert to fraction form
    345.75/766.31 = 766.31/x
  3. Step 3: Cross multiply
    345.75x = 766.31 × 766.31
  4. Step 4: Simplify right side
    345.75x = 587,234.85
  5. Step 5: Solve for x
    x = 587,234.85/345.75
  6. Step 6: Final answer
    x = 1,698.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.