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Finding the Third Proportional to 356.75 and 517.69

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Solution

The third proportional to 356.75 and 517.69 is: 751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 517.69 = 517.69 : x
  2. Step 2: Convert to fraction form
    356.75/517.69 = 517.69/x
  3. Step 3: Cross multiply
    356.75x = 517.69 × 517.69
  4. Step 4: Simplify right side
    356.75x = 268,000.35
  5. Step 5: Solve for x
    x = 268,000.35/356.75
  6. Step 6: Final answer
    x = 751.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.