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Finding the Third Proportional to 356,769.56 and 489,227.34

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Solution

The third proportional to 356,769.56 and 489,227.34 is: 670,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,769.56 : 489,227.34 = 489,227.34 : x
  2. Step 2: Convert to fraction form
    356,769.56/489,227.34 = 489,227.34/x
  3. Step 3: Cross multiply
    356,769.56x = 489,227.34 × 489,227.34
  4. Step 4: Simplify right side
    356,769.56x = 239,343,393,872.68
  5. Step 5: Solve for x
    x = 239,343,393,872.68/356,769.56
  6. Step 6: Final answer
    x = 670,862.71

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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.