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Finding the Third Proportional to 318,084.75 and 685,986.75

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Solution

The third proportional to 318,084.75 and 685,986.75 is: 1,479,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,084.75 : 685,986.75 = 685,986.75 : x
  2. Step 2: Convert to fraction form
    318,084.75/685,986.75 = 685,986.75/x
  3. Step 3: Cross multiply
    318,084.75x = 685,986.75 × 685,986.75
  4. Step 4: Simplify right side
    318,084.75x = 470,577,821,175.56
  5. Step 5: Solve for x
    x = 470,577,821,175.56/318,084.75
  6. Step 6: Final answer
    x = 1,479,410.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.