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Finding the Third Proportional to 343.97 and 518.77

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Solution

The third proportional to 343.97 and 518.77 is: 782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.97 : 518.77 = 518.77 : x
  2. Step 2: Convert to fraction form
    343.97/518.77 = 518.77/x
  3. Step 3: Cross multiply
    343.97x = 518.77 × 518.77
  4. Step 4: Simplify right side
    343.97x = 269,117.77
  5. Step 5: Solve for x
    x = 269,117.77/343.97
  6. Step 6: Final answer
    x = 782.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.