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Finding the Third Proportional to 425,704.50 and 659,211.75

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Solution

The third proportional to 425,704.50 and 659,211.75 is: 1,020,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,704.50 : 659,211.75 = 659,211.75 : x
  2. Step 2: Convert to fraction form
    425,704.50/659,211.75 = 659,211.75/x
  3. Step 3: Cross multiply
    425,704.50x = 659,211.75 × 659,211.75
  4. Step 4: Simplify right side
    425,704.50x = 434,560,131,338.06
  5. Step 5: Solve for x
    x = 434,560,131,338.06/425,704.50
  6. Step 6: Final answer
    x = 1,020,802.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.