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Finding the Third Proportional to 122,254 and 255,655

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Solution

The third proportional to 122,254 and 255,655 is: 534,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,254 : 255,655 = 255,655 : x
  2. Step 2: Convert to fraction form
    122,254/255,655 = 255,655/x
  3. Step 3: Cross multiply
    122,254x = 255,655 × 255,655
  4. Step 4: Simplify right side
    122,254x = 65,359,479,025
  5. Step 5: Solve for x
    x = 65,359,479,025/122,254
  6. Step 6: Final answer
    x = 534,620.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.