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Finding the Third Proportional to 169,038 and 259,847

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Solution

The third proportional to 169,038 and 259,847 is: 399,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,038 : 259,847 = 259,847 : x
  2. Step 2: Convert to fraction form
    169,038/259,847 = 259,847/x
  3. Step 3: Cross multiply
    169,038x = 259,847 × 259,847
  4. Step 4: Simplify right side
    169,038x = 67,520,463,409
  5. Step 5: Solve for x
    x = 67,520,463,409/169,038
  6. Step 6: Final answer
    x = 399,439.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.