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Finding the Third Proportional to 169,372 and 259,890

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Solution

The third proportional to 169,372 and 259,890 is: 398,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,372 : 259,890 = 259,890 : x
  2. Step 2: Convert to fraction form
    169,372/259,890 = 259,890/x
  3. Step 3: Cross multiply
    169,372x = 259,890 × 259,890
  4. Step 4: Simplify right side
    169,372x = 67,542,812,100
  5. Step 5: Solve for x
    x = 67,542,812,100/169,372
  6. Step 6: Final answer
    x = 398,783.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.