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Finding the Third Proportional to 72,846 and 109,939

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Solution

The third proportional to 72,846 and 109,939 is: 165,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846 : 109,939 = 109,939 : x
  2. Step 2: Convert to fraction form
    72,846/109,939 = 109,939/x
  3. Step 3: Cross multiply
    72,846x = 109,939 × 109,939
  4. Step 4: Simplify right side
    72,846x = 12,086,583,721
  5. Step 5: Solve for x
    x = 12,086,583,721/72,846
  6. Step 6: Final answer
    x = 165,919.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.