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Finding the Third Proportional to 189,446 and 408,406

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Solution

The third proportional to 189,446 and 408,406 is: 880,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,446 : 408,406 = 408,406 : x
  2. Step 2: Convert to fraction form
    189,446/408,406 = 408,406/x
  3. Step 3: Cross multiply
    189,446x = 408,406 × 408,406
  4. Step 4: Simplify right side
    189,446x = 166,795,460,836
  5. Step 5: Solve for x
    x = 166,795,460,836/189,446
  6. Step 6: Final answer
    x = 880,438.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.