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Finding the Third Proportional to 150,659 and 324,381

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Solution

The third proportional to 150,659 and 324,381 is: 698,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,659 : 324,381 = 324,381 : x
  2. Step 2: Convert to fraction form
    150,659/324,381 = 324,381/x
  3. Step 3: Cross multiply
    150,659x = 324,381 × 324,381
  4. Step 4: Simplify right side
    150,659x = 105,223,033,161
  5. Step 5: Solve for x
    x = 105,223,033,161/150,659
  6. Step 6: Final answer
    x = 698,418.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.