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Finding the Third Proportional to 256,108 and 558,872

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Solution

The third proportional to 256,108 and 558,872 is: 1,219,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,108 : 558,872 = 558,872 : x
  2. Step 2: Convert to fraction form
    256,108/558,872 = 558,872/x
  3. Step 3: Cross multiply
    256,108x = 558,872 × 558,872
  4. Step 4: Simplify right side
    256,108x = 312,337,912,384
  5. Step 5: Solve for x
    x = 312,337,912,384/256,108
  6. Step 6: Final answer
    x = 1,219,555.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.