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Finding the Third Proportional to 76,419 and 154,899

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Solution

The third proportional to 76,419 and 154,899 is: 313,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419 : 154,899 = 154,899 : x
  2. Step 2: Convert to fraction form
    76,419/154,899 = 154,899/x
  3. Step 3: Cross multiply
    76,419x = 154,899 × 154,899
  4. Step 4: Simplify right side
    76,419x = 23,993,700,201
  5. Step 5: Solve for x
    x = 23,993,700,201/76,419
  6. Step 6: Final answer
    x = 313,975.58

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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.