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Finding the Third Proportional to 400,888 and 870,176

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Solution

The third proportional to 400,888 and 870,176 is: 1,888,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,888 : 870,176 = 870,176 : x
  2. Step 2: Convert to fraction form
    400,888/870,176 = 870,176/x
  3. Step 3: Cross multiply
    400,888x = 870,176 × 870,176
  4. Step 4: Simplify right side
    400,888x = 757,206,270,976
  5. Step 5: Solve for x
    x = 757,206,270,976/400,888
  6. Step 6: Final answer
    x = 1,888,822.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.