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Finding the Third Proportional to 211,458 and 288,019

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Solution

The third proportional to 211,458 and 288,019 is: 392,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458 : 288,019 = 288,019 : x
  2. Step 2: Convert to fraction form
    211,458/288,019 = 288,019/x
  3. Step 3: Cross multiply
    211,458x = 288,019 × 288,019
  4. Step 4: Simplify right side
    211,458x = 82,954,944,361
  5. Step 5: Solve for x
    x = 82,954,944,361/211,458
  6. Step 6: Final answer
    x = 392,299.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.