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Finding the Third Proportional to 180,760 and 276,516

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Solution

The third proportional to 180,760 and 276,516 is: 422,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,760 : 276,516 = 276,516 : x
  2. Step 2: Convert to fraction form
    180,760/276,516 = 276,516/x
  3. Step 3: Cross multiply
    180,760x = 276,516 × 276,516
  4. Step 4: Simplify right side
    180,760x = 76,461,098,256
  5. Step 5: Solve for x
    x = 76,461,098,256/180,760
  6. Step 6: Final answer
    x = 422,997.89

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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.