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Finding the Third Proportional to 265,983 and 408,843

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Solution

The third proportional to 265,983 and 408,843 is: 628,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,983 : 408,843 = 408,843 : x
  2. Step 2: Convert to fraction form
    265,983/408,843 = 408,843/x
  3. Step 3: Cross multiply
    265,983x = 408,843 × 408,843
  4. Step 4: Simplify right side
    265,983x = 167,152,598,649
  5. Step 5: Solve for x
    x = 167,152,598,649/265,983
  6. Step 6: Final answer
    x = 628,433.39

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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.