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Finding the Third Proportional to 430,986 and 682,110

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Solution

The third proportional to 430,986 and 682,110 is: 1,079,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,986 : 682,110 = 682,110 : x
  2. Step 2: Convert to fraction form
    430,986/682,110 = 682,110/x
  3. Step 3: Cross multiply
    430,986x = 682,110 × 682,110
  4. Step 4: Simplify right side
    430,986x = 465,274,052,100
  5. Step 5: Solve for x
    x = 465,274,052,100/430,986
  6. Step 6: Final answer
    x = 1,079,557.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.