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Finding the Third Proportional to 259,960.50 and 399,334.50

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Solution

The third proportional to 259,960.50 and 399,334.50 is: 613,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,960.50 : 399,334.50 = 399,334.50 : x
  2. Step 2: Convert to fraction form
    259,960.50/399,334.50 = 399,334.50/x
  3. Step 3: Cross multiply
    259,960.50x = 399,334.50 × 399,334.50
  4. Step 4: Simplify right side
    259,960.50x = 159,468,042,890.25
  5. Step 5: Solve for x
    x = 159,468,042,890.25/259,960.50
  6. Step 6: Final answer
    x = 613,431.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.