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Finding the Third Proportional to 259,890.25 and 388,777.75

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Solution

The third proportional to 259,890.25 and 388,777.75 is: 581,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,890.25 : 388,777.75 = 388,777.75 : x
  2. Step 2: Convert to fraction form
    259,890.25/388,777.75 = 388,777.75/x
  3. Step 3: Cross multiply
    259,890.25x = 388,777.75 × 388,777.75
  4. Step 4: Simplify right side
    259,890.25x = 151,148,138,895.06
  5. Step 5: Solve for x
    x = 151,148,138,895.06/259,890.25
  6. Step 6: Final answer
    x = 581,584.49

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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.