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Finding the Third Proportional to 405,328.50 and 879,885

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Solution

The third proportional to 405,328.50 and 879,885 is: 1,910,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,328.50 : 879,885 = 879,885 : x
  2. Step 2: Convert to fraction form
    405,328.50/879,885 = 879,885/x
  3. Step 3: Cross multiply
    405,328.50x = 879,885 × 879,885
  4. Step 4: Simplify right side
    405,328.50x = 774,197,613,225
  5. Step 5: Solve for x
    x = 774,197,613,225/405,328.50
  6. Step 6: Final answer
    x = 1,910,049.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.