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Finding the Third Proportional to 356,682 and 489,096

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Solution

The third proportional to 356,682 and 489,096 is: 670,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,682 : 489,096 = 489,096 : x
  2. Step 2: Convert to fraction form
    356,682/489,096 = 489,096/x
  3. Step 3: Cross multiply
    356,682x = 489,096 × 489,096
  4. Step 4: Simplify right side
    356,682x = 239,214,897,216
  5. Step 5: Solve for x
    x = 239,214,897,216/356,682
  6. Step 6: Final answer
    x = 670,667.14

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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.