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Finding the Third Proportional to 212,625 and 434,970

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Solution

The third proportional to 212,625 and 434,970 is: 889,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625 : 434,970 = 434,970 : x
  2. Step 2: Convert to fraction form
    212,625/434,970 = 434,970/x
  3. Step 3: Cross multiply
    212,625x = 434,970 × 434,970
  4. Step 4: Simplify right side
    212,625x = 189,198,900,900
  5. Step 5: Solve for x
    x = 189,198,900,900/212,625
  6. Step 6: Final answer
    x = 889,824.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.