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Finding the Third Proportional to 225,980 and 309,867

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Solution

The third proportional to 225,980 and 309,867 is: 424,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,980 : 309,867 = 309,867 : x
  2. Step 2: Convert to fraction form
    225,980/309,867 = 309,867/x
  3. Step 3: Cross multiply
    225,980x = 309,867 × 309,867
  4. Step 4: Simplify right side
    225,980x = 96,017,557,689
  5. Step 5: Solve for x
    x = 96,017,557,689/225,980
  6. Step 6: Final answer
    x = 424,894.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.