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Finding the Third Proportional to 211,718 and 329,239

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Solution

The third proportional to 211,718 and 329,239 is: 511,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,718 : 329,239 = 329,239 : x
  2. Step 2: Convert to fraction form
    211,718/329,239 = 329,239/x
  3. Step 3: Cross multiply
    211,718x = 329,239 × 329,239
  4. Step 4: Simplify right side
    211,718x = 108,398,319,121
  5. Step 5: Solve for x
    x = 108,398,319,121/211,718
  6. Step 6: Final answer
    x = 511,993.87

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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.