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Finding the Third Proportional to 268,221 and 558,483

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Solution

The third proportional to 268,221 and 558,483 is: 1,162,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,221 : 558,483 = 558,483 : x
  2. Step 2: Convert to fraction form
    268,221/558,483 = 558,483/x
  3. Step 3: Cross multiply
    268,221x = 558,483 × 558,483
  4. Step 4: Simplify right side
    268,221x = 311,903,261,289
  5. Step 5: Solve for x
    x = 311,903,261,289/268,221
  6. Step 6: Final answer
    x = 1,162,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.