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Finding the Third Proportional to 122,600 and 268,168

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Solution

The third proportional to 122,600 and 268,168 is: 586,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,600 : 268,168 = 268,168 : x
  2. Step 2: Convert to fraction form
    122,600/268,168 = 268,168/x
  3. Step 3: Cross multiply
    122,600x = 268,168 × 268,168
  4. Step 4: Simplify right side
    122,600x = 71,914,076,224
  5. Step 5: Solve for x
    x = 71,914,076,224/122,600
  6. Step 6: Final answer
    x = 586,574.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.