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Finding the Third Proportional to 122,312 and 268,680

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Solution

The third proportional to 122,312 and 268,680 is: 590,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312 : 268,680 = 268,680 : x
  2. Step 2: Convert to fraction form
    122,312/268,680 = 268,680/x
  3. Step 3: Cross multiply
    122,312x = 268,680 × 268,680
  4. Step 4: Simplify right side
    122,312x = 72,188,942,400
  5. Step 5: Solve for x
    x = 72,188,942,400/122,312
  6. Step 6: Final answer
    x = 590,203.27

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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.