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Finding the Third Proportional to 122,308 and 268,670

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Solution

The third proportional to 122,308 and 268,670 is: 590,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,308 : 268,670 = 268,670 : x
  2. Step 2: Convert to fraction form
    122,308/268,670 = 268,670/x
  3. Step 3: Cross multiply
    122,308x = 268,670 × 268,670
  4. Step 4: Simplify right side
    122,308x = 72,183,568,900
  5. Step 5: Solve for x
    x = 72,183,568,900/122,308
  6. Step 6: Final answer
    x = 590,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.