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Finding the Third Proportional to 330,601.50 and 689,816.25

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Solution

The third proportional to 330,601.50 and 689,816.25 is: 1,439,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,601.50 : 689,816.25 = 689,816.25 : x
  2. Step 2: Convert to fraction form
    330,601.50/689,816.25 = 689,816.25/x
  3. Step 3: Cross multiply
    330,601.50x = 689,816.25 × 689,816.25
  4. Step 4: Simplify right side
    330,601.50x = 475,846,458,764.06
  5. Step 5: Solve for x
    x = 475,846,458,764.06/330,601.50
  6. Step 6: Final answer
    x = 1,439,335.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.