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Finding the Third Proportional to 682,854 and 906,129

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Solution

The third proportional to 682,854 and 906,129 is: 1,202,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,854 : 906,129 = 906,129 : x
  2. Step 2: Convert to fraction form
    682,854/906,129 = 906,129/x
  3. Step 3: Cross multiply
    682,854x = 906,129 × 906,129
  4. Step 4: Simplify right side
    682,854x = 821,069,764,641
  5. Step 5: Solve for x
    x = 821,069,764,641/682,854
  6. Step 6: Final answer
    x = 1,202,408.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.