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Finding the Third Proportional to 150,120 and 211,152

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Solution

The third proportional to 150,120 and 211,152 is: 296,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120 : 211,152 = 211,152 : x
  2. Step 2: Convert to fraction form
    150,120/211,152 = 211,152/x
  3. Step 3: Cross multiply
    150,120x = 211,152 × 211,152
  4. Step 4: Simplify right side
    150,120x = 44,585,167,104
  5. Step 5: Solve for x
    x = 44,585,167,104/150,120
  6. Step 6: Final answer
    x = 296,996.85

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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.