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Finding the Third Proportional to 391,837 and 860,735

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Solution

The third proportional to 391,837 and 860,735 is: 1,890,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,837 : 860,735 = 860,735 : x
  2. Step 2: Convert to fraction form
    391,837/860,735 = 860,735/x
  3. Step 3: Cross multiply
    391,837x = 860,735 × 860,735
  4. Step 4: Simplify right side
    391,837x = 740,864,740,225
  5. Step 5: Solve for x
    x = 740,864,740,225/391,837
  6. Step 6: Final answer
    x = 1,890,747.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.