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Finding the Third Proportional to 150,372 and 320,407

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Solution

The third proportional to 150,372 and 320,407 is: 682,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,372 : 320,407 = 320,407 : x
  2. Step 2: Convert to fraction form
    150,372/320,407 = 320,407/x
  3. Step 3: Cross multiply
    150,372x = 320,407 × 320,407
  4. Step 4: Simplify right side
    150,372x = 102,660,645,649
  5. Step 5: Solve for x
    x = 102,660,645,649/150,372
  6. Step 6: Final answer
    x = 682,711.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.