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Finding the Third Proportional to 150,018 and 320,126

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Solution

The third proportional to 150,018 and 320,126 is: 683,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,018 : 320,126 = 320,126 : x
  2. Step 2: Convert to fraction form
    150,018/320,126 = 320,126/x
  3. Step 3: Cross multiply
    150,018x = 320,126 × 320,126
  4. Step 4: Simplify right side
    150,018x = 102,480,655,876
  5. Step 5: Solve for x
    x = 102,480,655,876/150,018
  6. Step 6: Final answer
    x = 683,122.40

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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.