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Finding the Third Proportional to 405,138 and 870,324

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Solution

The third proportional to 405,138 and 870,324 is: 1,869,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138 : 870,324 = 870,324 : x
  2. Step 2: Convert to fraction form
    405,138/870,324 = 870,324/x
  3. Step 3: Cross multiply
    405,138x = 870,324 × 870,324
  4. Step 4: Simplify right side
    405,138x = 757,463,864,976
  5. Step 5: Solve for x
    x = 757,463,864,976/405,138
  6. Step 6: Final answer
    x = 1,869,644.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.