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Finding the Third Proportional to 405,335 and 903,874

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Solution

The third proportional to 405,335 and 903,874 is: 2,015,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,335 : 903,874 = 903,874 : x
  2. Step 2: Convert to fraction form
    405,335/903,874 = 903,874/x
  3. Step 3: Cross multiply
    405,335x = 903,874 × 903,874
  4. Step 4: Simplify right side
    405,335x = 816,988,207,876
  5. Step 5: Solve for x
    x = 816,988,207,876/405,335
  6. Step 6: Final answer
    x = 2,015,587.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.