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Finding the Third Proportional to 430,982 and 682,104

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Solution

The third proportional to 430,982 and 682,104 is: 1,079,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,982 : 682,104 = 682,104 : x
  2. Step 2: Convert to fraction form
    430,982/682,104 = 682,104/x
  3. Step 3: Cross multiply
    430,982x = 682,104 × 682,104
  4. Step 4: Simplify right side
    430,982x = 465,265,866,816
  5. Step 5: Solve for x
    x = 465,265,866,816/430,982
  6. Step 6: Final answer
    x = 1,079,548.26

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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.