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Finding the Third Proportional to 399,825 and 874,381

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Solution

The third proportional to 399,825 and 874,381 is: 1,912,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,825 : 874,381 = 874,381 : x
  2. Step 2: Convert to fraction form
    399,825/874,381 = 874,381/x
  3. Step 3: Cross multiply
    399,825x = 874,381 × 874,381
  4. Step 4: Simplify right side
    399,825x = 764,542,133,161
  5. Step 5: Solve for x
    x = 764,542,133,161/399,825
  6. Step 6: Final answer
    x = 1,912,191.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.