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Finding the Third Proportional to 356,737 and 489,177

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Solution

The third proportional to 356,737 and 489,177 is: 670,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,737 : 489,177 = 489,177 : x
  2. Step 2: Convert to fraction form
    356,737/489,177 = 489,177/x
  3. Step 3: Cross multiply
    356,737x = 489,177 × 489,177
  4. Step 4: Simplify right side
    356,737x = 239,294,137,329
  5. Step 5: Solve for x
    x = 239,294,137,329/356,737
  6. Step 6: Final answer
    x = 670,785.87

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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.