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Finding the Third Proportional to 122,852 and 268,789

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Solution

The third proportional to 122,852 and 268,789 is: 588,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,852 : 268,789 = 268,789 : x
  2. Step 2: Convert to fraction form
    122,852/268,789 = 268,789/x
  3. Step 3: Cross multiply
    122,852x = 268,789 × 268,789
  4. Step 4: Simplify right side
    122,852x = 72,247,526,521
  5. Step 5: Solve for x
    x = 72,247,526,521/122,852
  6. Step 6: Final answer
    x = 588,085.88

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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.