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Finding the Third Proportional to 70,809 and 154,500

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Solution

The third proportional to 70,809 and 154,500 is: 337,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809 : 154,500 = 154,500 : x
  2. Step 2: Convert to fraction form
    70,809/154,500 = 154,500/x
  3. Step 3: Cross multiply
    70,809x = 154,500 × 154,500
  4. Step 4: Simplify right side
    70,809x = 23,870,250,000
  5. Step 5: Solve for x
    x = 23,870,250,000/70,809
  6. Step 6: Final answer
    x = 337,107.57

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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.