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Finding the Third Proportional to 150,217 and 211,291

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Solution

The third proportional to 150,217 and 211,291 is: 297,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217 : 211,291 = 211,291 : x
  2. Step 2: Convert to fraction form
    150,217/211,291 = 211,291/x
  3. Step 3: Cross multiply
    150,217x = 211,291 × 211,291
  4. Step 4: Simplify right side
    150,217x = 44,643,886,681
  5. Step 5: Solve for x
    x = 44,643,886,681/150,217
  6. Step 6: Final answer
    x = 297,195.97

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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.