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Finding the Third Proportional to 398,946 and 874,194

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Solution

The third proportional to 398,946 and 874,194 is: 1,915,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,946 : 874,194 = 874,194 : x
  2. Step 2: Convert to fraction form
    398,946/874,194 = 874,194/x
  3. Step 3: Cross multiply
    398,946x = 874,194 × 874,194
  4. Step 4: Simplify right side
    398,946x = 764,215,149,636
  5. Step 5: Solve for x
    x = 764,215,149,636/398,946
  6. Step 6: Final answer
    x = 1,915,585.44

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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.