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Finding the Third Proportional to 150,019 and 320,125

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Solution

The third proportional to 150,019 and 320,125 is: 683,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,019 : 320,125 = 320,125 : x
  2. Step 2: Convert to fraction form
    150,019/320,125 = 320,125/x
  3. Step 3: Cross multiply
    150,019x = 320,125 × 320,125
  4. Step 4: Simplify right side
    150,019x = 102,480,015,625
  5. Step 5: Solve for x
    x = 102,480,015,625/150,019
  6. Step 6: Final answer
    x = 683,113.58

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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.