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Finding the Third Proportional to 262,800 and 405,867

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Solution

The third proportional to 262,800 and 405,867 is: 626,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,800 : 405,867 = 405,867 : x
  2. Step 2: Convert to fraction form
    262,800/405,867 = 405,867/x
  3. Step 3: Cross multiply
    262,800x = 405,867 × 405,867
  4. Step 4: Simplify right side
    262,800x = 164,728,021,689
  5. Step 5: Solve for x
    x = 164,728,021,689/262,800
  6. Step 6: Final answer
    x = 626,818.96

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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.