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Finding the Third Proportional to 131,589 and 289,416

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Solution

The third proportional to 131,589 and 289,416 is: 636,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,589 : 289,416 = 289,416 : x
  2. Step 2: Convert to fraction form
    131,589/289,416 = 289,416/x
  3. Step 3: Cross multiply
    131,589x = 289,416 × 289,416
  4. Step 4: Simplify right side
    131,589x = 83,761,621,056
  5. Step 5: Solve for x
    x = 83,761,621,056/131,589
  6. Step 6: Final answer
    x = 636,539.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.