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Finding the Third Proportional to 262,782 and 405,994

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Solution

The third proportional to 262,782 and 405,994 is: 627,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,782 : 405,994 = 405,994 : x
  2. Step 2: Convert to fraction form
    262,782/405,994 = 405,994/x
  3. Step 3: Cross multiply
    262,782x = 405,994 × 405,994
  4. Step 4: Simplify right side
    262,782x = 164,831,128,036
  5. Step 5: Solve for x
    x = 164,831,128,036/262,782
  6. Step 6: Final answer
    x = 627,254.26

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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.