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Finding the Third Proportional to 344,108 and 518,151

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Solution

The third proportional to 344,108 and 518,151 is: 780,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,108 : 518,151 = 518,151 : x
  2. Step 2: Convert to fraction form
    344,108/518,151 = 518,151/x
  3. Step 3: Cross multiply
    344,108x = 518,151 × 518,151
  4. Step 4: Simplify right side
    344,108x = 268,480,458,801
  5. Step 5: Solve for x
    x = 268,480,458,801/344,108
  6. Step 6: Final answer
    x = 780,221.50

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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.