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Finding the Third Proportional to 120,149 and 182,816

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Solution

The third proportional to 120,149 and 182,816 is: 278,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149 : 182,816 = 182,816 : x
  2. Step 2: Convert to fraction form
    120,149/182,816 = 182,816/x
  3. Step 3: Cross multiply
    120,149x = 182,816 × 182,816
  4. Step 4: Simplify right side
    120,149x = 33,421,689,856
  5. Step 5: Solve for x
    x = 33,421,689,856/120,149
  6. Step 6: Final answer
    x = 278,168.69

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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.