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Finding the Third Proportional to 212,716 and 329,331

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Solution

The third proportional to 212,716 and 329,331 is: 509,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716 : 329,331 = 329,331 : x
  2. Step 2: Convert to fraction form
    212,716/329,331 = 329,331/x
  3. Step 3: Cross multiply
    212,716x = 329,331 × 329,331
  4. Step 4: Simplify right side
    212,716x = 108,458,907,561
  5. Step 5: Solve for x
    x = 108,458,907,561/212,716
  6. Step 6: Final answer
    x = 509,876.58

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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.