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Finding the Third Proportional to 211,716 and 329,236

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Solution

The third proportional to 211,716 and 329,236 is: 511,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,716 : 329,236 = 329,236 : x
  2. Step 2: Convert to fraction form
    211,716/329,236 = 329,236/x
  3. Step 3: Cross multiply
    211,716x = 329,236 × 329,236
  4. Step 4: Simplify right side
    211,716x = 108,396,343,696
  5. Step 5: Solve for x
    x = 108,396,343,696/211,716
  6. Step 6: Final answer
    x = 511,989.38

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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.