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Finding the Third Proportional to 122,806 and 220,340

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Solution

The third proportional to 122,806 and 220,340 is: 395,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806 : 220,340 = 220,340 : x
  2. Step 2: Convert to fraction form
    122,806/220,340 = 220,340/x
  3. Step 3: Cross multiply
    122,806x = 220,340 × 220,340
  4. Step 4: Simplify right side
    122,806x = 48,549,715,600
  5. Step 5: Solve for x
    x = 48,549,715,600/122,806
  6. Step 6: Final answer
    x = 395,336.67

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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.