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Finding the Third Proportional to 239,589 and 359,388

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Solution

The third proportional to 239,589 and 359,388 is: 539,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,589 : 359,388 = 359,388 : x
  2. Step 2: Convert to fraction form
    239,589/359,388 = 359,388/x
  3. Step 3: Cross multiply
    239,589x = 359,388 × 359,388
  4. Step 4: Simplify right side
    239,589x = 129,159,734,544
  5. Step 5: Solve for x
    x = 129,159,734,544/239,589
  6. Step 6: Final answer
    x = 539,088.75

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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.