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Finding the Third Proportional to 157,446 and 339,756.75

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Solution

The third proportional to 157,446 and 339,756.75 is: 733,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,446 : 339,756.75 = 339,756.75 : x
  2. Step 2: Convert to fraction form
    157,446/339,756.75 = 339,756.75/x
  3. Step 3: Cross multiply
    157,446x = 339,756.75 × 339,756.75
  4. Step 4: Simplify right side
    157,446x = 115,434,649,170.56
  5. Step 5: Solve for x
    x = 115,434,649,170.56/157,446
  6. Step 6: Final answer
    x = 733,169.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.