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Finding the Third Proportional to 320,470 and 489,180

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Solution

The third proportional to 320,470 and 489,180 is: 746,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,470 : 489,180 = 489,180 : x
  2. Step 2: Convert to fraction form
    320,470/489,180 = 489,180/x
  3. Step 3: Cross multiply
    320,470x = 489,180 × 489,180
  4. Step 4: Simplify right side
    320,470x = 239,297,072,400
  5. Step 5: Solve for x
    x = 239,297,072,400/320,470
  6. Step 6: Final answer
    x = 746,706.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.