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Finding the Third Proportional to 189,970 and 408,524

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Solution

The third proportional to 189,970 and 408,524 is: 878,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970 : 408,524 = 408,524 : x
  2. Step 2: Convert to fraction form
    189,970/408,524 = 408,524/x
  3. Step 3: Cross multiply
    189,970x = 408,524 × 408,524
  4. Step 4: Simplify right side
    189,970x = 166,891,858,576
  5. Step 5: Solve for x
    x = 166,891,858,576/189,970
  6. Step 6: Final answer
    x = 878,516.92

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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.