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Finding the Third Proportional to 122,796 and 268,419

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Solution

The third proportional to 122,796 and 268,419 is: 586,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 268,419 = 268,419 : x
  2. Step 2: Convert to fraction form
    122,796/268,419 = 268,419/x
  3. Step 3: Cross multiply
    122,796x = 268,419 × 268,419
  4. Step 4: Simplify right side
    122,796x = 72,048,759,561
  5. Step 5: Solve for x
    x = 72,048,759,561/122,796
  6. Step 6: Final answer
    x = 586,735.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.