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Finding the Third Proportional to 405,286 and 938,249

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Solution

The third proportional to 405,286 and 938,249 is: 2,172,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,286 : 938,249 = 938,249 : x
  2. Step 2: Convert to fraction form
    405,286/938,249 = 938,249/x
  3. Step 3: Cross multiply
    405,286x = 938,249 × 938,249
  4. Step 4: Simplify right side
    405,286x = 880,311,186,001
  5. Step 5: Solve for x
    x = 880,311,186,001/405,286
  6. Step 6: Final answer
    x = 2,172,074.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.