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Finding the Third Proportional to 211,718 and 329,241

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Solution

The third proportional to 211,718 and 329,241 is: 512,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,718 : 329,241 = 329,241 : x
  2. Step 2: Convert to fraction form
    211,718/329,241 = 329,241/x
  3. Step 3: Cross multiply
    211,718x = 329,241 × 329,241
  4. Step 4: Simplify right side
    211,718x = 108,399,636,081
  5. Step 5: Solve for x
    x = 108,399,636,081/211,718
  6. Step 6: Final answer
    x = 512,000.09

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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.