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Finding the Third Proportional to 211,722 and 329,245

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Solution

The third proportional to 211,722 and 329,245 is: 512,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,722 : 329,245 = 329,245 : x
  2. Step 2: Convert to fraction form
    211,722/329,245 = 329,245/x
  3. Step 3: Cross multiply
    211,722x = 329,245 × 329,245
  4. Step 4: Simplify right side
    211,722x = 108,402,270,025
  5. Step 5: Solve for x
    x = 108,402,270,025/211,722
  6. Step 6: Final answer
    x = 512,002.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.