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Finding the Third Proportional to 346.15 and 519.22

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Solution

The third proportional to 346.15 and 519.22 is: 778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 519.22 = 519.22 : x
  2. Step 2: Convert to fraction form
    346.15/519.22 = 519.22/x
  3. Step 3: Cross multiply
    346.15x = 519.22 × 519.22
  4. Step 4: Simplify right side
    346.15x = 269,592.17
  5. Step 5: Solve for x
    x = 269,592.17/346.15
  6. Step 6: Final answer
    x = 778.83

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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.