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Finding the Third Proportional to 396,684 and 612,522

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Solution

The third proportional to 396,684 and 612,522 is: 945,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,684 : 612,522 = 612,522 : x
  2. Step 2: Convert to fraction form
    396,684/612,522 = 612,522/x
  3. Step 3: Cross multiply
    396,684x = 612,522 × 612,522
  4. Step 4: Simplify right side
    396,684x = 375,183,200,484
  5. Step 5: Solve for x
    x = 375,183,200,484/396,684
  6. Step 6: Final answer
    x = 945,798.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.