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Finding the Third Proportional to 180,198 and 276,402.38

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Solution

The third proportional to 180,198 and 276,402.38 is: 423,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,198 : 276,402.38 = 276,402.38 : x
  2. Step 2: Convert to fraction form
    180,198/276,402.38 = 276,402.38/x
  3. Step 3: Cross multiply
    180,198x = 276,402.38 × 276,402.38
  4. Step 4: Simplify right side
    180,198x = 76,398,272,905.64
  5. Step 5: Solve for x
    x = 76,398,272,905.64/180,198
  6. Step 6: Final answer
    x = 423,968.48

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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.