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Finding the Third Proportional to 120,879 and 169,924.50

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Solution

The third proportional to 120,879 and 169,924.50 is: 238,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879 : 169,924.50 = 169,924.50 : x
  2. Step 2: Convert to fraction form
    120,879/169,924.50 = 169,924.50/x
  3. Step 3: Cross multiply
    120,879x = 169,924.50 × 169,924.50
  4. Step 4: Simplify right side
    120,879x = 28,874,335,700.25
  5. Step 5: Solve for x
    x = 28,874,335,700.25/120,879
  6. Step 6: Final answer
    x = 238,869.74

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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.