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Finding the Third Proportional to 214,392 and 434,616

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Solution

The third proportional to 214,392 and 434,616 is: 881,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392 : 434,616 = 434,616 : x
  2. Step 2: Convert to fraction form
    214,392/434,616 = 434,616/x
  3. Step 3: Cross multiply
    214,392x = 434,616 × 434,616
  4. Step 4: Simplify right side
    214,392x = 188,891,067,456
  5. Step 5: Solve for x
    x = 188,891,067,456/214,392
  6. Step 6: Final answer
    x = 881,054.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.