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Finding the Third Proportional to 189,974 and 408,532

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Solution

The third proportional to 189,974 and 408,532 is: 878,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,974 : 408,532 = 408,532 : x
  2. Step 2: Convert to fraction form
    189,974/408,532 = 408,532/x
  3. Step 3: Cross multiply
    189,974x = 408,532 × 408,532
  4. Step 4: Simplify right side
    189,974x = 166,898,395,024
  5. Step 5: Solve for x
    x = 166,898,395,024/189,974
  6. Step 6: Final answer
    x = 878,532.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.