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Finding the Third Proportional to 259,735 and 388,567

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Solution

The third proportional to 259,735 and 388,567 is: 581,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,735 : 388,567 = 388,567 : x
  2. Step 2: Convert to fraction form
    259,735/388,567 = 388,567/x
  3. Step 3: Cross multiply
    259,735x = 388,567 × 388,567
  4. Step 4: Simplify right side
    259,735x = 150,984,313,489
  5. Step 5: Solve for x
    x = 150,984,313,489/259,735
  6. Step 6: Final answer
    x = 581,301.38

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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.