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Finding the Third Proportional to 259,737.75 and 388,568.63

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Solution

The third proportional to 259,737.75 and 388,568.63 is: 581,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737.75 : 388,568.63 = 388,568.63 : x
  2. Step 2: Convert to fraction form
    259,737.75/388,568.63 = 388,568.63/x
  3. Step 3: Cross multiply
    259,737.75x = 388,568.63 × 388,568.63
  4. Step 4: Simplify right side
    259,737.75x = 150,985,576,334.39
  5. Step 5: Solve for x
    x = 150,985,576,334.39/259,737.75
  6. Step 6: Final answer
    x = 581,300.09

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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.