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Finding the Third Proportional to 405,729 and 867,744

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Solution

The third proportional to 405,729 and 867,744 is: 1,855,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,729 : 867,744 = 867,744 : x
  2. Step 2: Convert to fraction form
    405,729/867,744 = 867,744/x
  3. Step 3: Cross multiply
    405,729x = 867,744 × 867,744
  4. Step 4: Simplify right side
    405,729x = 752,979,649,536
  5. Step 5: Solve for x
    x = 752,979,649,536/405,729
  6. Step 6: Final answer
    x = 1,855,868.45

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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.