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Finding the Third Proportional to 256,318 and 561,996

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Solution

The third proportional to 256,318 and 561,996 is: 1,232,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,318 : 561,996 = 561,996 : x
  2. Step 2: Convert to fraction form
    256,318/561,996 = 561,996/x
  3. Step 3: Cross multiply
    256,318x = 561,996 × 561,996
  4. Step 4: Simplify right side
    256,318x = 315,839,504,016
  5. Step 5: Solve for x
    x = 315,839,504,016/256,318
  6. Step 6: Final answer
    x = 1,232,217.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.