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Finding the Third Proportional to 256,832 and 551,896

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Solution

The third proportional to 256,832 and 551,896 is: 1,185,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,832 : 551,896 = 551,896 : x
  2. Step 2: Convert to fraction form
    256,832/551,896 = 551,896/x
  3. Step 3: Cross multiply
    256,832x = 551,896 × 551,896
  4. Step 4: Simplify right side
    256,832x = 304,589,194,816
  5. Step 5: Solve for x
    x = 304,589,194,816/256,832
  6. Step 6: Final answer
    x = 1,185,947.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.