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Finding the Third Proportional to 259,891.31 and 388,779.75

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Solution

The third proportional to 259,891.31 and 388,779.75 is: 581,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891.31 : 388,779.75 = 388,779.75 : x
  2. Step 2: Convert to fraction form
    259,891.31/388,779.75 = 388,779.75/x
  3. Step 3: Cross multiply
    259,891.31x = 388,779.75 × 388,779.75
  4. Step 4: Simplify right side
    259,891.31x = 151,149,694,010.06
  5. Step 5: Solve for x
    x = 151,149,694,010.06/259,891.31
  6. Step 6: Final answer
    x = 581,588.10

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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.