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Finding the Third Proportional to 405,324 and 879,876

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Solution

The third proportional to 405,324 and 879,876 is: 1,910,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,324 : 879,876 = 879,876 : x
  2. Step 2: Convert to fraction form
    405,324/879,876 = 879,876/x
  3. Step 3: Cross multiply
    405,324x = 879,876 × 879,876
  4. Step 4: Simplify right side
    405,324x = 774,181,775,376
  5. Step 5: Solve for x
    x = 774,181,775,376/405,324
  6. Step 6: Final answer
    x = 1,910,031.91

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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.