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Finding the Third Proportional to 212,908 and 329,612

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Solution

The third proportional to 212,908 and 329,612 is: 510,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,908 : 329,612 = 329,612 : x
  2. Step 2: Convert to fraction form
    212,908/329,612 = 329,612/x
  3. Step 3: Cross multiply
    212,908x = 329,612 × 329,612
  4. Step 4: Simplify right side
    212,908x = 108,644,070,544
  5. Step 5: Solve for x
    x = 108,644,070,544/212,908
  6. Step 6: Final answer
    x = 510,286.46

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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.