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Finding the Third Proportional to 397,318 and 860,642

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Solution

The third proportional to 397,318 and 860,642 is: 1,864,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,318 : 860,642 = 860,642 : x
  2. Step 2: Convert to fraction form
    397,318/860,642 = 860,642/x
  3. Step 3: Cross multiply
    397,318x = 860,642 × 860,642
  4. Step 4: Simplify right side
    397,318x = 740,704,652,164
  5. Step 5: Solve for x
    x = 740,704,652,164/397,318
  6. Step 6: Final answer
    x = 1,864,261.50

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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.