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Finding the Third Proportional to 150,442 and 320,376

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Solution

The third proportional to 150,442 and 320,376 is: 682,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442 : 320,376 = 320,376 : x
  2. Step 2: Convert to fraction form
    150,442/320,376 = 320,376/x
  3. Step 3: Cross multiply
    150,442x = 320,376 × 320,376
  4. Step 4: Simplify right side
    150,442x = 102,640,781,376
  5. Step 5: Solve for x
    x = 102,640,781,376/150,442
  6. Step 6: Final answer
    x = 682,261.48

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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.