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Finding the Third Proportional to 259,889.50 and 388,755.75

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Solution

The third proportional to 259,889.50 and 388,755.75 is: 581,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,889.50 : 388,755.75 = 388,755.75 : x
  2. Step 2: Convert to fraction form
    259,889.50/388,755.75 = 388,755.75/x
  3. Step 3: Cross multiply
    259,889.50x = 388,755.75 × 388,755.75
  4. Step 4: Simplify right side
    259,889.50x = 151,131,033,158.06
  5. Step 5: Solve for x
    x = 151,131,033,158.06/259,889.50
  6. Step 6: Final answer
    x = 581,520.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.