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Finding the Third Proportional to 122,808 and 220,344

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Solution

The third proportional to 122,808 and 220,344 is: 395,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,808 : 220,344 = 220,344 : x
  2. Step 2: Convert to fraction form
    122,808/220,344 = 220,344/x
  3. Step 3: Cross multiply
    122,808x = 220,344 × 220,344
  4. Step 4: Simplify right side
    122,808x = 48,551,478,336
  5. Step 5: Solve for x
    x = 48,551,478,336/122,808
  6. Step 6: Final answer
    x = 395,344.59

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.