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Finding the Third Proportional to 347.75 and 520.69

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Solution

The third proportional to 347.75 and 520.69 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.75 : 520.69 = 520.69 : x
  2. Step 2: Convert to fraction form
    347.75/520.69 = 520.69/x
  3. Step 3: Cross multiply
    347.75x = 520.69 × 520.69
  4. Step 4: Simplify right side
    347.75x = 271,115.47
  5. Step 5: Solve for x
    x = 271,115.47/347.75
  6. Step 6: Final answer
    x = 779.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.