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Finding the Third Proportional to 356,720 and 489,150

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Solution

The third proportional to 356,720 and 489,150 is: 670,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,720 : 489,150 = 489,150 : x
  2. Step 2: Convert to fraction form
    356,720/489,150 = 489,150/x
  3. Step 3: Cross multiply
    356,720x = 489,150 × 489,150
  4. Step 4: Simplify right side
    356,720x = 239,267,722,500
  5. Step 5: Solve for x
    x = 239,267,722,500/356,720
  6. Step 6: Final answer
    x = 670,743.78

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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.