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Finding the Third Proportional to 189,508 and 408,392

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Solution

The third proportional to 189,508 and 408,392 is: 880,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508 : 408,392 = 408,392 : x
  2. Step 2: Convert to fraction form
    189,508/408,392 = 408,392/x
  3. Step 3: Cross multiply
    189,508x = 408,392 × 408,392
  4. Step 4: Simplify right side
    189,508x = 166,784,025,664
  5. Step 5: Solve for x
    x = 166,784,025,664/189,508
  6. Step 6: Final answer
    x = 880,089.63

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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.