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Finding the Third Proportional to 398,942 and 874,186

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Solution

The third proportional to 398,942 and 874,186 is: 1,915,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,942 : 874,186 = 874,186 : x
  2. Step 2: Convert to fraction form
    398,942/874,186 = 874,186/x
  3. Step 3: Cross multiply
    398,942x = 874,186 × 874,186
  4. Step 4: Simplify right side
    398,942x = 764,201,162,596
  5. Step 5: Solve for x
    x = 764,201,162,596/398,942
  6. Step 6: Final answer
    x = 1,915,569.59

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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.