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Finding the Third Proportional to 92,752 and 203,936

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Solution

The third proportional to 92,752 and 203,936 is: 448,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,752 : 203,936 = 203,936 : x
  2. Step 2: Convert to fraction form
    92,752/203,936 = 203,936/x
  3. Step 3: Cross multiply
    92,752x = 203,936 × 203,936
  4. Step 4: Simplify right side
    92,752x = 41,589,892,096
  5. Step 5: Solve for x
    x = 41,589,892,096/92,752
  6. Step 6: Final answer
    x = 448,398.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.