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Finding the Third Proportional to 262,996 and 427,278

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Solution

The third proportional to 262,996 and 427,278 is: 694,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,996 : 427,278 = 427,278 : x
  2. Step 2: Convert to fraction form
    262,996/427,278 = 427,278/x
  3. Step 3: Cross multiply
    262,996x = 427,278 × 427,278
  4. Step 4: Simplify right side
    262,996x = 182,566,489,284
  5. Step 5: Solve for x
    x = 182,566,489,284/262,996
  6. Step 6: Final answer
    x = 694,179.72

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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.