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Finding the Third Proportional to 262,783 and 405,995

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Solution

The third proportional to 262,783 and 405,995 is: 627,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783 : 405,995 = 405,995 : x
  2. Step 2: Convert to fraction form
    262,783/405,995 = 405,995/x
  3. Step 3: Cross multiply
    262,783x = 405,995 × 405,995
  4. Step 4: Simplify right side
    262,783x = 164,831,940,025
  5. Step 5: Solve for x
    x = 164,831,940,025/262,783
  6. Step 6: Final answer
    x = 627,254.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.