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Finding the Third Proportional to 222,903 and 434,643

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Solution

The third proportional to 222,903 and 434,643 is: 847,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,903 : 434,643 = 434,643 : x
  2. Step 2: Convert to fraction form
    222,903/434,643 = 434,643/x
  3. Step 3: Cross multiply
    222,903x = 434,643 × 434,643
  4. Step 4: Simplify right side
    222,903x = 188,914,537,449
  5. Step 5: Solve for x
    x = 188,914,537,449/222,903
  6. Step 6: Final answer
    x = 847,519.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.