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Finding the Third Proportional to 422,283.38 and 879,513.19

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Solution

The third proportional to 422,283.38 and 879,513.19 is: 1,831,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,283.38 : 879,513.19 = 879,513.19 : x
  2. Step 2: Convert to fraction form
    422,283.38/879,513.19 = 879,513.19/x
  3. Step 3: Cross multiply
    422,283.38x = 879,513.19 × 879,513.19
  4. Step 4: Simplify right side
    422,283.38x = 773,543,446,986.41
  5. Step 5: Solve for x
    x = 773,543,446,986.41/422,283.38
  6. Step 6: Final answer
    x = 1,831,811.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.