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Finding the Third Proportional to 216.78 and 344.92

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Solution

The third proportional to 216.78 and 344.92 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 344.92 = 344.92 : x
  2. Step 2: Convert to fraction form
    216.78/344.92 = 344.92/x
  3. Step 3: Cross multiply
    216.78x = 344.92 × 344.92
  4. Step 4: Simplify right side
    216.78x = 118,971.44
  5. Step 5: Solve for x
    x = 118,971.44/216.78
  6. Step 6: Final answer
    x = 548.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.