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Finding the Third Proportional to 405,337 and 903,878

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Solution

The third proportional to 405,337 and 903,878 is: 2,015,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,337 : 903,878 = 903,878 : x
  2. Step 2: Convert to fraction form
    405,337/903,878 = 903,878/x
  3. Step 3: Cross multiply
    405,337x = 903,878 × 903,878
  4. Step 4: Simplify right side
    405,337x = 816,995,438,884
  5. Step 5: Solve for x
    x = 816,995,438,884/405,337
  6. Step 6: Final answer
    x = 2,015,595.51

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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.