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Finding the Third Proportional to 85,916 and 120,990

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Solution

The third proportional to 85,916 and 120,990 is: 170,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,916 : 120,990 = 120,990 : x
  2. Step 2: Convert to fraction form
    85,916/120,990 = 120,990/x
  3. Step 3: Cross multiply
    85,916x = 120,990 × 120,990
  4. Step 4: Simplify right side
    85,916x = 14,638,580,100
  5. Step 5: Solve for x
    x = 14,638,580,100/85,916
  6. Step 6: Final answer
    x = 170,382.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.