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Finding the Third Proportional to 212,936 and 329,656

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Solution

The third proportional to 212,936 and 329,656 is: 510,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,936 : 329,656 = 329,656 : x
  2. Step 2: Convert to fraction form
    212,936/329,656 = 329,656/x
  3. Step 3: Cross multiply
    212,936x = 329,656 × 329,656
  4. Step 4: Simplify right side
    212,936x = 108,673,078,336
  5. Step 5: Solve for x
    x = 108,673,078,336/212,936
  6. Step 6: Final answer
    x = 510,355.59

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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.