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Finding the Third Proportional to 73,434 and 159,990

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Solution

The third proportional to 73,434 and 159,990 is: 348,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,434 : 159,990 = 159,990 : x
  2. Step 2: Convert to fraction form
    73,434/159,990 = 159,990/x
  3. Step 3: Cross multiply
    73,434x = 159,990 × 159,990
  4. Step 4: Simplify right side
    73,434x = 25,596,800,100
  5. Step 5: Solve for x
    x = 25,596,800,100/73,434
  6. Step 6: Final answer
    x = 348,568.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.