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Finding the Third Proportional to 398,779 and 860,170

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Solution

The third proportional to 398,779 and 860,170 is: 1,855,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,779 : 860,170 = 860,170 : x
  2. Step 2: Convert to fraction form
    398,779/860,170 = 860,170/x
  3. Step 3: Cross multiply
    398,779x = 860,170 × 860,170
  4. Step 4: Simplify right side
    398,779x = 739,892,428,900
  5. Step 5: Solve for x
    x = 739,892,428,900/398,779
  6. Step 6: Final answer
    x = 1,855,394.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.