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Finding the Third Proportional to 312,792.89 and 682,926.19

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Solution

The third proportional to 312,792.89 and 682,926.19 is: 1,491,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,792.89 : 682,926.19 = 682,926.19 : x
  2. Step 2: Convert to fraction form
    312,792.89/682,926.19 = 682,926.19/x
  3. Step 3: Cross multiply
    312,792.89x = 682,926.19 × 682,926.19
  4. Step 4: Simplify right side
    312,792.89x = 466,388,177,573.29
  5. Step 5: Solve for x
    x = 466,388,177,573.29/312,792.89
  6. Step 6: Final answer
    x = 1,491,044.69

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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.