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Finding the Third Proportional to 397,314 and 860,634

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Solution

The third proportional to 397,314 and 860,634 is: 1,864,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314 : 860,634 = 860,634 : x
  2. Step 2: Convert to fraction form
    397,314/860,634 = 860,634/x
  3. Step 3: Cross multiply
    397,314x = 860,634 × 860,634
  4. Step 4: Simplify right side
    397,314x = 740,690,881,956
  5. Step 5: Solve for x
    x = 740,690,881,956/397,314
  6. Step 6: Final answer
    x = 1,864,245.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.