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Finding the Third Proportional to 346.78 and 518.91

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Solution

The third proportional to 346.78 and 518.91 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 518.91 = 518.91 : x
  2. Step 2: Convert to fraction form
    346.78/518.91 = 518.91/x
  3. Step 3: Cross multiply
    346.78x = 518.91 × 518.91
  4. Step 4: Simplify right side
    346.78x = 269,263.70
  5. Step 5: Solve for x
    x = 269,263.70/346.78
  6. Step 6: Final answer
    x = 776.47

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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.