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Finding the Third Proportional to 259,891.25 and 388,779.25

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Solution

The third proportional to 259,891.25 and 388,779.25 is: 581,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891.25 : 388,779.25 = 388,779.25 : x
  2. Step 2: Convert to fraction form
    259,891.25/388,779.25 = 388,779.25/x
  3. Step 3: Cross multiply
    259,891.25x = 388,779.25 × 388,779.25
  4. Step 4: Simplify right side
    259,891.25x = 151,149,305,230.56
  5. Step 5: Solve for x
    x = 151,149,305,230.56/259,891.25
  6. Step 6: Final answer
    x = 581,586.74

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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.