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Finding the Third Proportional to 313,186.50 and 682,830

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Solution

The third proportional to 313,186.50 and 682,830 is: 1,488,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,186.50 : 682,830 = 682,830 : x
  2. Step 2: Convert to fraction form
    313,186.50/682,830 = 682,830/x
  3. Step 3: Cross multiply
    313,186.50x = 682,830 × 682,830
  4. Step 4: Simplify right side
    313,186.50x = 466,256,808,900
  5. Step 5: Solve for x
    x = 466,256,808,900/313,186.50
  6. Step 6: Final answer
    x = 1,488,751.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.