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Finding the Third Proportional to 180,659 and 268,369

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Solution

The third proportional to 180,659 and 268,369 is: 398,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,659 : 268,369 = 268,369 : x
  2. Step 2: Convert to fraction form
    180,659/268,369 = 268,369/x
  3. Step 3: Cross multiply
    180,659x = 268,369 × 268,369
  4. Step 4: Simplify right side
    180,659x = 72,021,920,161
  5. Step 5: Solve for x
    x = 72,021,920,161/180,659
  6. Step 6: Final answer
    x = 398,662.23

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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.