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Finding the Third Proportional to 150,405 and 334,431

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Solution

The third proportional to 150,405 and 334,431 is: 743,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,405 : 334,431 = 334,431 : x
  2. Step 2: Convert to fraction form
    150,405/334,431 = 334,431/x
  3. Step 3: Cross multiply
    150,405x = 334,431 × 334,431
  4. Step 4: Simplify right side
    150,405x = 111,844,093,761
  5. Step 5: Solve for x
    x = 111,844,093,761/150,405
  6. Step 6: Final answer
    x = 743,619.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.