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Finding the Third Proportional to 398,309 and 860,005

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Solution

The third proportional to 398,309 and 860,005 is: 1,856,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,309 : 860,005 = 860,005 : x
  2. Step 2: Convert to fraction form
    398,309/860,005 = 860,005/x
  3. Step 3: Cross multiply
    398,309x = 860,005 × 860,005
  4. Step 4: Simplify right side
    398,309x = 739,608,600,025
  5. Step 5: Solve for x
    x = 739,608,600,025/398,309
  6. Step 6: Final answer
    x = 1,856,871.42

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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.