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Finding the Third Proportional to 396,726 and 526,257

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Solution

The third proportional to 396,726 and 526,257 is: 698,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,726 : 526,257 = 526,257 : x
  2. Step 2: Convert to fraction form
    396,726/526,257 = 526,257/x
  3. Step 3: Cross multiply
    396,726x = 526,257 × 526,257
  4. Step 4: Simplify right side
    396,726x = 276,946,430,049
  5. Step 5: Solve for x
    x = 276,946,430,049/396,726
  6. Step 6: Final answer
    x = 698,079.86

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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.