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Finding the Third Proportional to 211,720 and 329,244

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Solution

The third proportional to 211,720 and 329,244 is: 512,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,720 : 329,244 = 329,244 : x
  2. Step 2: Convert to fraction form
    211,720/329,244 = 329,244/x
  3. Step 3: Cross multiply
    211,720x = 329,244 × 329,244
  4. Step 4: Simplify right side
    211,720x = 108,401,611,536
  5. Step 5: Solve for x
    x = 108,401,611,536/211,720
  6. Step 6: Final answer
    x = 512,004.59

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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.