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Finding the Third Proportional to 312,728 and 682,804

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Solution

The third proportional to 312,728 and 682,804 is: 1,490,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,728 : 682,804 = 682,804 : x
  2. Step 2: Convert to fraction form
    312,728/682,804 = 682,804/x
  3. Step 3: Cross multiply
    312,728x = 682,804 × 682,804
  4. Step 4: Simplify right side
    312,728x = 466,221,302,416
  5. Step 5: Solve for x
    x = 466,221,302,416/312,728
  6. Step 6: Final answer
    x = 1,490,820.47

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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.