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Finding the Third Proportional to 256,057 and 387,622

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Solution

The third proportional to 256,057 and 387,622 is: 586,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,057 : 387,622 = 387,622 : x
  2. Step 2: Convert to fraction form
    256,057/387,622 = 387,622/x
  3. Step 3: Cross multiply
    256,057x = 387,622 × 387,622
  4. Step 4: Simplify right side
    256,057x = 150,250,814,884
  5. Step 5: Solve for x
    x = 150,250,814,884/256,057
  6. Step 6: Final answer
    x = 586,786.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.