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Finding the Third Proportional to 259,880 and 388,758

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Solution

The third proportional to 259,880 and 388,758 is: 581,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,880 : 388,758 = 388,758 : x
  2. Step 2: Convert to fraction form
    259,880/388,758 = 388,758/x
  3. Step 3: Cross multiply
    259,880x = 388,758 × 388,758
  4. Step 4: Simplify right side
    259,880x = 151,132,782,564
  5. Step 5: Solve for x
    x = 151,132,782,564/259,880
  6. Step 6: Final answer
    x = 581,548.34

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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.