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Finding the Third Proportional to 192,190.50 and 300,622.50

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Solution

The third proportional to 192,190.50 and 300,622.50 is: 470,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,190.50 : 300,622.50 = 300,622.50 : x
  2. Step 2: Convert to fraction form
    192,190.50/300,622.50 = 300,622.50/x
  3. Step 3: Cross multiply
    192,190.50x = 300,622.50 × 300,622.50
  4. Step 4: Simplify right side
    192,190.50x = 90,373,887,506.25
  5. Step 5: Solve for x
    x = 90,373,887,506.25/192,190.50
  6. Step 6: Final answer
    x = 470,230.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.