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Finding the Third Proportional to 180,736 and 276,480

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Solution

The third proportional to 180,736 and 276,480 is: 422,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,736 : 276,480 = 276,480 : x
  2. Step 2: Convert to fraction form
    180,736/276,480 = 276,480/x
  3. Step 3: Cross multiply
    180,736x = 276,480 × 276,480
  4. Step 4: Simplify right side
    180,736x = 76,441,190,400
  5. Step 5: Solve for x
    x = 76,441,190,400/180,736
  6. Step 6: Final answer
    x = 422,943.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.