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Finding the Third Proportional to 211,720 and 329,242

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Solution

The third proportional to 211,720 and 329,242 is: 511,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,720 : 329,242 = 329,242 : x
  2. Step 2: Convert to fraction form
    211,720/329,242 = 329,242/x
  3. Step 3: Cross multiply
    211,720x = 329,242 × 329,242
  4. Step 4: Simplify right side
    211,720x = 108,400,294,564
  5. Step 5: Solve for x
    x = 108,400,294,564/211,720
  6. Step 6: Final answer
    x = 511,998.37

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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.