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Finding the Third Proportional to 422,719 and 860,197

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Solution

The third proportional to 422,719 and 860,197 is: 1,750,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,719 : 860,197 = 860,197 : x
  2. Step 2: Convert to fraction form
    422,719/860,197 = 860,197/x
  3. Step 3: Cross multiply
    422,719x = 860,197 × 860,197
  4. Step 4: Simplify right side
    422,719x = 739,938,878,809
  5. Step 5: Solve for x
    x = 739,938,878,809/422,719
  6. Step 6: Final answer
    x = 1,750,427.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.