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Finding the Third Proportional to 211,977 and 284,107.50

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Solution

The third proportional to 211,977 and 284,107.50 is: 380,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,977 : 284,107.50 = 284,107.50 : x
  2. Step 2: Convert to fraction form
    211,977/284,107.50 = 284,107.50/x
  3. Step 3: Cross multiply
    211,977x = 284,107.50 × 284,107.50
  4. Step 4: Simplify right side
    211,977x = 80,717,071,556.25
  5. Step 5: Solve for x
    x = 80,717,071,556.25/211,977
  6. Step 6: Final answer
    x = 380,782.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.