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Finding the Third Proportional to 356,684 and 489,099

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Solution

The third proportional to 356,684 and 489,099 is: 670,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,684 : 489,099 = 489,099 : x
  2. Step 2: Convert to fraction form
    356,684/489,099 = 489,099/x
  3. Step 3: Cross multiply
    356,684x = 489,099 × 489,099
  4. Step 4: Simplify right side
    356,684x = 239,217,831,801
  5. Step 5: Solve for x
    x = 239,217,831,801/356,684
  6. Step 6: Final answer
    x = 670,671.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.