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Finding the Third Proportional to 256,224 and 355,274

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Solution

The third proportional to 256,224 and 355,274 is: 492,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,224 : 355,274 = 355,274 : x
  2. Step 2: Convert to fraction form
    256,224/355,274 = 355,274/x
  3. Step 3: Cross multiply
    256,224x = 355,274 × 355,274
  4. Step 4: Simplify right side
    256,224x = 126,219,615,076
  5. Step 5: Solve for x
    x = 126,219,615,076/256,224
  6. Step 6: Final answer
    x = 492,614.33

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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.