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Finding the Third Proportional to 416,869 and 910,009

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Solution

The third proportional to 416,869 and 910,009 is: 1,986,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,869 : 910,009 = 910,009 : x
  2. Step 2: Convert to fraction form
    416,869/910,009 = 910,009/x
  3. Step 3: Cross multiply
    416,869x = 910,009 × 910,009
  4. Step 4: Simplify right side
    416,869x = 828,116,380,081
  5. Step 5: Solve for x
    x = 828,116,380,081/416,869
  6. Step 6: Final answer
    x = 1,986,514.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.