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Finding the Third Proportional to 211,712 and 329,232

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Solution

The third proportional to 211,712 and 329,232 is: 511,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,712 : 329,232 = 329,232 : x
  2. Step 2: Convert to fraction form
    211,712/329,232 = 329,232/x
  3. Step 3: Cross multiply
    211,712x = 329,232 × 329,232
  4. Step 4: Simplify right side
    211,712x = 108,393,709,824
  5. Step 5: Solve for x
    x = 108,393,709,824/211,712
  6. Step 6: Final answer
    x = 511,986.61

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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.