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Finding the Third Proportional to 346.36 and 518.70

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Solution

The third proportional to 346.36 and 518.70 is: 776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.36 : 518.70 = 518.70 : x
  2. Step 2: Convert to fraction form
    346.36/518.70 = 518.70/x
  3. Step 3: Cross multiply
    346.36x = 518.70 × 518.70
  4. Step 4: Simplify right side
    346.36x = 269,044.83
  5. Step 5: Solve for x
    x = 269,044.83/346.36
  6. Step 6: Final answer
    x = 776.78

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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.