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Finding the Third Proportional to 305,794.50 and 690,870.75

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Solution

The third proportional to 305,794.50 and 690,870.75 is: 1,560,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,794.50 : 690,870.75 = 690,870.75 : x
  2. Step 2: Convert to fraction form
    305,794.50/690,870.75 = 690,870.75/x
  3. Step 3: Cross multiply
    305,794.50x = 690,870.75 × 690,870.75
  4. Step 4: Simplify right side
    305,794.50x = 477,302,393,205.56
  5. Step 5: Solve for x
    x = 477,302,393,205.56/305,794.50
  6. Step 6: Final answer
    x = 1,560,859.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.