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Finding the Third Proportional to 263,012 and 427,302

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Solution

The third proportional to 263,012 and 427,302 is: 694,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,012 : 427,302 = 427,302 : x
  2. Step 2: Convert to fraction form
    263,012/427,302 = 427,302/x
  3. Step 3: Cross multiply
    263,012x = 427,302 × 427,302
  4. Step 4: Simplify right side
    263,012x = 182,586,999,204
  5. Step 5: Solve for x
    x = 182,586,999,204/263,012
  6. Step 6: Final answer
    x = 694,215.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.