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Finding the Third Proportional to 212,864 and 329,622

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Solution

The third proportional to 212,864 and 329,622 is: 510,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,864 : 329,622 = 329,622 : x
  2. Step 2: Convert to fraction form
    212,864/329,622 = 329,622/x
  3. Step 3: Cross multiply
    212,864x = 329,622 × 329,622
  4. Step 4: Simplify right side
    212,864x = 108,650,662,884
  5. Step 5: Solve for x
    x = 108,650,662,884/212,864
  6. Step 6: Final answer
    x = 510,422.91

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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.