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Finding the Third Proportional to 180,621 and 268,317

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Solution

The third proportional to 180,621 and 268,317 is: 398,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,621 : 268,317 = 268,317 : x
  2. Step 2: Convert to fraction form
    180,621/268,317 = 268,317/x
  3. Step 3: Cross multiply
    180,621x = 268,317 × 268,317
  4. Step 4: Simplify right side
    180,621x = 71,994,012,489
  5. Step 5: Solve for x
    x = 71,994,012,489/180,621
  6. Step 6: Final answer
    x = 398,591.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.