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Finding the Third Proportional to 311,088 and 682,683

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Solution

The third proportional to 311,088 and 682,683 is: 1,498,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,088 : 682,683 = 682,683 : x
  2. Step 2: Convert to fraction form
    311,088/682,683 = 682,683/x
  3. Step 3: Cross multiply
    311,088x = 682,683 × 682,683
  4. Step 4: Simplify right side
    311,088x = 466,056,078,489
  5. Step 5: Solve for x
    x = 466,056,078,489/311,088
  6. Step 6: Final answer
    x = 1,498,148.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.