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Finding the Third Proportional to 150,885 and 211,455

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Solution

The third proportional to 150,885 and 211,455 is: 296,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,885 : 211,455 = 211,455 : x
  2. Step 2: Convert to fraction form
    150,885/211,455 = 211,455/x
  3. Step 3: Cross multiply
    150,885x = 211,455 × 211,455
  4. Step 4: Simplify right side
    150,885x = 44,713,217,025
  5. Step 5: Solve for x
    x = 44,713,217,025/150,885
  6. Step 6: Final answer
    x = 296,339.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.