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Finding the Third Proportional to 150,435 and 320,364

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Solution

The third proportional to 150,435 and 320,364 is: 682,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435 : 320,364 = 320,364 : x
  2. Step 2: Convert to fraction form
    150,435/320,364 = 320,364/x
  3. Step 3: Cross multiply
    150,435x = 320,364 × 320,364
  4. Step 4: Simplify right side
    150,435x = 102,633,092,496
  5. Step 5: Solve for x
    x = 102,633,092,496/150,435
  6. Step 6: Final answer
    x = 682,242.11

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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.