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Finding the Third Proportional to 122,520 and 268,621

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Solution

The third proportional to 122,520 and 268,621 is: 588,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,520 : 268,621 = 268,621 : x
  2. Step 2: Convert to fraction form
    122,520/268,621 = 268,621/x
  3. Step 3: Cross multiply
    122,520x = 268,621 × 268,621
  4. Step 4: Simplify right side
    122,520x = 72,157,241,641
  5. Step 5: Solve for x
    x = 72,157,241,641/122,520
  6. Step 6: Final answer
    x = 588,942.55

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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.