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Finding the Third Proportional to 405,804 and 867,888

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Solution

The third proportional to 405,804 and 867,888 is: 1,856,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,804 : 867,888 = 867,888 : x
  2. Step 2: Convert to fraction form
    405,804/867,888 = 867,888/x
  3. Step 3: Cross multiply
    405,804x = 867,888 × 867,888
  4. Step 4: Simplify right side
    405,804x = 753,229,580,544
  5. Step 5: Solve for x
    x = 753,229,580,544/405,804
  6. Step 6: Final answer
    x = 1,856,141.34

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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.