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Finding the Third Proportional to 260,378 and 405,790

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Solution

The third proportional to 260,378 and 405,790 is: 632,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,378 : 405,790 = 405,790 : x
  2. Step 2: Convert to fraction form
    260,378/405,790 = 405,790/x
  3. Step 3: Cross multiply
    260,378x = 405,790 × 405,790
  4. Step 4: Simplify right side
    260,378x = 164,665,524,100
  5. Step 5: Solve for x
    x = 164,665,524,100/260,378
  6. Step 6: Final answer
    x = 632,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.