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Finding the Third Proportional to 150,078 and 211,077

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Solution

The third proportional to 150,078 and 211,077 is: 296,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,078 : 211,077 = 211,077 : x
  2. Step 2: Convert to fraction form
    150,078/211,077 = 211,077/x
  3. Step 3: Cross multiply
    150,078x = 211,077 × 211,077
  4. Step 4: Simplify right side
    150,078x = 44,553,499,929
  5. Step 5: Solve for x
    x = 44,553,499,929/150,078
  6. Step 6: Final answer
    x = 296,868.96

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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.