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Finding the Third Proportional to 259,672.88 and 388,471.13

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Solution

The third proportional to 259,672.88 and 388,471.13 is: 581,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,672.88 : 388,471.13 = 388,471.13 : x
  2. Step 2: Convert to fraction form
    259,672.88/388,471.13 = 388,471.13/x
  3. Step 3: Cross multiply
    259,672.88x = 388,471.13 × 388,471.13
  4. Step 4: Simplify right side
    259,672.88x = 150,909,814,958.77
  5. Step 5: Solve for x
    x = 150,909,814,958.77/259,672.88
  6. Step 6: Final answer
    x = 581,153.56

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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.