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Finding the Third Proportional to 262,367 and 405,145

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Solution

The third proportional to 262,367 and 405,145 is: 625,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,367 : 405,145 = 405,145 : x
  2. Step 2: Convert to fraction form
    262,367/405,145 = 405,145/x
  3. Step 3: Cross multiply
    262,367x = 405,145 × 405,145
  4. Step 4: Simplify right side
    262,367x = 164,142,471,025
  5. Step 5: Solve for x
    x = 164,142,471,025/262,367
  6. Step 6: Final answer
    x = 625,621.63

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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.