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Finding the Third Proportional to 211,713 and 329,233.50

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Solution

The third proportional to 211,713 and 329,233.50 is: 511,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,713 : 329,233.50 = 329,233.50 : x
  2. Step 2: Convert to fraction form
    211,713/329,233.50 = 329,233.50/x
  3. Step 3: Cross multiply
    211,713x = 329,233.50 × 329,233.50
  4. Step 4: Simplify right side
    211,713x = 108,394,697,522.25
  5. Step 5: Solve for x
    x = 108,394,697,522.25/211,713
  6. Step 6: Final answer
    x = 511,988.86

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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.