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Finding the Third Proportional to 268,222 and 558,268

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Solution

The third proportional to 268,222 and 558,268 is: 1,161,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,222 : 558,268 = 558,268 : x
  2. Step 2: Convert to fraction form
    268,222/558,268 = 558,268/x
  3. Step 3: Cross multiply
    268,222x = 558,268 × 558,268
  4. Step 4: Simplify right side
    268,222x = 311,663,159,824
  5. Step 5: Solve for x
    x = 311,663,159,824/268,222
  6. Step 6: Final answer
    x = 1,161,959.72

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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.