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Finding the Third Proportional to 120,697 and 182,990

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Solution

The third proportional to 120,697 and 182,990 is: 277,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697 : 182,990 = 182,990 : x
  2. Step 2: Convert to fraction form
    120,697/182,990 = 182,990/x
  3. Step 3: Cross multiply
    120,697x = 182,990 × 182,990
  4. Step 4: Simplify right side
    120,697x = 33,485,340,100
  5. Step 5: Solve for x
    x = 33,485,340,100/120,697
  6. Step 6: Final answer
    x = 277,433.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.