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Finding the Third Proportional to 305,974.13 and 505,662.75

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Solution

The third proportional to 305,974.13 and 505,662.75 is: 835,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,974.13 : 505,662.75 = 505,662.75 : x
  2. Step 2: Convert to fraction form
    305,974.13/505,662.75 = 505,662.75/x
  3. Step 3: Cross multiply
    305,974.13x = 505,662.75 × 505,662.75
  4. Step 4: Simplify right side
    305,974.13x = 255,694,816,737.56
  5. Step 5: Solve for x
    x = 255,694,816,737.56/305,974.13
  6. Step 6: Final answer
    x = 835,674.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.