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Finding the Third Proportional to 312,779.81 and 682,902.56

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Solution

The third proportional to 312,779.81 and 682,902.56 is: 1,491,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.81 : 682,902.56 = 682,902.56 : x
  2. Step 2: Convert to fraction form
    312,779.81/682,902.56 = 682,902.56/x
  3. Step 3: Cross multiply
    312,779.81x = 682,902.56 × 682,902.56
  4. Step 4: Simplify right side
    312,779.81x = 466,355,909,869.07
  5. Step 5: Solve for x
    x = 466,355,909,869.07/312,779.81
  6. Step 6: Final answer
    x = 1,491,003.87

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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.