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Finding the Third Proportional to 396,288 and 846,336

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Solution

The third proportional to 396,288 and 846,336 is: 1,807,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,288 : 846,336 = 846,336 : x
  2. Step 2: Convert to fraction form
    396,288/846,336 = 846,336/x
  3. Step 3: Cross multiply
    396,288x = 846,336 × 846,336
  4. Step 4: Simplify right side
    396,288x = 716,284,624,896
  5. Step 5: Solve for x
    x = 716,284,624,896/396,288
  6. Step 6: Final answer
    x = 1,807,485.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.