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Finding the Third Proportional to 405,766 and 867,816

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Solution

The third proportional to 405,766 and 867,816 is: 1,856,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,766 : 867,816 = 867,816 : x
  2. Step 2: Convert to fraction form
    405,766/867,816 = 867,816/x
  3. Step 3: Cross multiply
    405,766x = 867,816 × 867,816
  4. Step 4: Simplify right side
    405,766x = 753,104,609,856
  5. Step 5: Solve for x
    x = 753,104,609,856/405,766
  6. Step 6: Final answer
    x = 1,856,007.18

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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.