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Finding the Third Proportional to 169,009 and 342,695

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Solution

The third proportional to 169,009 and 342,695 is: 694,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,009 : 342,695 = 342,695 : x
  2. Step 2: Convert to fraction form
    169,009/342,695 = 342,695/x
  3. Step 3: Cross multiply
    169,009x = 342,695 × 342,695
  4. Step 4: Simplify right side
    169,009x = 117,439,863,025
  5. Step 5: Solve for x
    x = 117,439,863,025/169,009
  6. Step 6: Final answer
    x = 694,873.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.