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Finding the Third Proportional to 122,942 and 268,228

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Solution

The third proportional to 122,942 and 268,228 is: 585,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942 : 268,228 = 268,228 : x
  2. Step 2: Convert to fraction form
    122,942/268,228 = 268,228/x
  3. Step 3: Cross multiply
    122,942x = 268,228 × 268,228
  4. Step 4: Simplify right side
    122,942x = 71,946,259,984
  5. Step 5: Solve for x
    x = 71,946,259,984/122,942
  6. Step 6: Final answer
    x = 585,204.89

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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.