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Finding the Third Proportional to 120,889 and 169,939

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Solution

The third proportional to 120,889 and 169,939 is: 238,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,889 : 169,939 = 169,939 : x
  2. Step 2: Convert to fraction form
    120,889/169,939 = 169,939/x
  3. Step 3: Cross multiply
    120,889x = 169,939 × 169,939
  4. Step 4: Simplify right side
    120,889x = 28,879,263,721
  5. Step 5: Solve for x
    x = 28,879,263,721/120,889
  6. Step 6: Final answer
    x = 238,890.75

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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.