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Finding the Third Proportional to 397,102 and 856,408

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Solution

The third proportional to 397,102 and 856,408 is: 1,846,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,102 : 856,408 = 856,408 : x
  2. Step 2: Convert to fraction form
    397,102/856,408 = 856,408/x
  3. Step 3: Cross multiply
    397,102x = 856,408 × 856,408
  4. Step 4: Simplify right side
    397,102x = 733,434,662,464
  5. Step 5: Solve for x
    x = 733,434,662,464/397,102
  6. Step 6: Final answer
    x = 1,846,967.94

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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.