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Finding the Third Proportional to 212,956 and 329,694

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Solution

The third proportional to 212,956 and 329,694 is: 510,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,956 : 329,694 = 329,694 : x
  2. Step 2: Convert to fraction form
    212,956/329,694 = 329,694/x
  3. Step 3: Cross multiply
    212,956x = 329,694 × 329,694
  4. Step 4: Simplify right side
    212,956x = 108,698,133,636
  5. Step 5: Solve for x
    x = 108,698,133,636/212,956
  6. Step 6: Final answer
    x = 510,425.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.