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Finding the Third Proportional to 396,648 and 873,768

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Solution

The third proportional to 396,648 and 873,768 is: 1,924,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,648 : 873,768 = 873,768 : x
  2. Step 2: Convert to fraction form
    396,648/873,768 = 873,768/x
  3. Step 3: Cross multiply
    396,648x = 873,768 × 873,768
  4. Step 4: Simplify right side
    396,648x = 763,470,517,824
  5. Step 5: Solve for x
    x = 763,470,517,824/396,648
  6. Step 6: Final answer
    x = 1,924,806.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.