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Finding the Third Proportional to 262,794 and 405,858

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Solution

The third proportional to 262,794 and 405,858 is: 626,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,794 : 405,858 = 405,858 : x
  2. Step 2: Convert to fraction form
    262,794/405,858 = 405,858/x
  3. Step 3: Cross multiply
    262,794x = 405,858 × 405,858
  4. Step 4: Simplify right side
    262,794x = 164,720,716,164
  5. Step 5: Solve for x
    x = 164,720,716,164/262,794
  6. Step 6: Final answer
    x = 626,805.47

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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.