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Finding the Third Proportional to 201,183 and 278,906

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Solution

The third proportional to 201,183 and 278,906 is: 386,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,183 : 278,906 = 278,906 : x
  2. Step 2: Convert to fraction form
    201,183/278,906 = 278,906/x
  3. Step 3: Cross multiply
    201,183x = 278,906 × 278,906
  4. Step 4: Simplify right side
    201,183x = 77,788,556,836
  5. Step 5: Solve for x
    x = 77,788,556,836/201,183
  6. Step 6: Final answer
    x = 386,655.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.