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Finding the Third Proportional to 396,954 and 872,640

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Solution

The third proportional to 396,954 and 872,640 is: 1,918,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,954 : 872,640 = 872,640 : x
  2. Step 2: Convert to fraction form
    396,954/872,640 = 872,640/x
  3. Step 3: Cross multiply
    396,954x = 872,640 × 872,640
  4. Step 4: Simplify right side
    396,954x = 761,500,569,600
  5. Step 5: Solve for x
    x = 761,500,569,600/396,954
  6. Step 6: Final answer
    x = 1,918,359.73

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