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Finding the Third Proportional to 263,205 and 423,878

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Solution

The third proportional to 263,205 and 423,878 is: 682,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,205 : 423,878 = 423,878 : x
  2. Step 2: Convert to fraction form
    263,205/423,878 = 423,878/x
  3. Step 3: Cross multiply
    263,205x = 423,878 × 423,878
  4. Step 4: Simplify right side
    263,205x = 179,672,558,884
  5. Step 5: Solve for x
    x = 179,672,558,884/263,205
  6. Step 6: Final answer
    x = 682,633.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.