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Finding the Third Proportional to 405,795 and 867,876

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Solution

The third proportional to 405,795 and 867,876 is: 1,856,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,795 : 867,876 = 867,876 : x
  2. Step 2: Convert to fraction form
    405,795/867,876 = 867,876/x
  3. Step 3: Cross multiply
    405,795x = 867,876 × 867,876
  4. Step 4: Simplify right side
    405,795x = 753,208,751,376
  5. Step 5: Solve for x
    x = 753,208,751,376/405,795
  6. Step 6: Final answer
    x = 1,856,131.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.