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Finding the Third Proportional to 356,769.94 and 489,227.81

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Solution

The third proportional to 356,769.94 and 489,227.81 is: 670,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,769.94 : 489,227.81 = 489,227.81 : x
  2. Step 2: Convert to fraction form
    356,769.94/489,227.81 = 489,227.81/x
  3. Step 3: Cross multiply
    356,769.94x = 489,227.81 × 489,227.81
  4. Step 4: Simplify right side
    356,769.94x = 239,343,852,523.54
  5. Step 5: Solve for x
    x = 239,343,852,523.54/356,769.94
  6. Step 6: Final answer
    x = 670,863.29

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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.