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Finding the Third Proportional to 256,219 and 355,268

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Solution

The third proportional to 256,219 and 355,268 is: 492,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,219 : 355,268 = 355,268 : x
  2. Step 2: Convert to fraction form
    256,219/355,268 = 355,268/x
  3. Step 3: Cross multiply
    256,219x = 355,268 × 355,268
  4. Step 4: Simplify right side
    256,219x = 126,215,351,824
  5. Step 5: Solve for x
    x = 126,215,351,824/256,219
  6. Step 6: Final answer
    x = 492,607.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.