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Finding the Third Proportional to 396,156 and 867,168

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Solution

The third proportional to 396,156 and 867,168 is: 1,898,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,156 : 867,168 = 867,168 : x
  2. Step 2: Convert to fraction form
    396,156/867,168 = 867,168/x
  3. Step 3: Cross multiply
    396,156x = 867,168 × 867,168
  4. Step 4: Simplify right side
    396,156x = 751,980,340,224
  5. Step 5: Solve for x
    x = 751,980,340,224/396,156
  6. Step 6: Final answer
    x = 1,898,192.48

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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.