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Finding the Third Proportional to 396,728 and 526,260

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Solution

The third proportional to 396,728 and 526,260 is: 698,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,728 : 526,260 = 526,260 : x
  2. Step 2: Convert to fraction form
    396,728/526,260 = 526,260/x
  3. Step 3: Cross multiply
    396,728x = 526,260 × 526,260
  4. Step 4: Simplify right side
    396,728x = 276,949,587,600
  5. Step 5: Solve for x
    x = 276,949,587,600/396,728
  6. Step 6: Final answer
    x = 698,084.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.