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Finding the Third Proportional to 409,469 and 886,009

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Solution

The third proportional to 409,469 and 886,009 is: 1,917,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,469 : 886,009 = 886,009 : x
  2. Step 2: Convert to fraction form
    409,469/886,009 = 886,009/x
  3. Step 3: Cross multiply
    409,469x = 886,009 × 886,009
  4. Step 4: Simplify right side
    409,469x = 785,011,948,081
  5. Step 5: Solve for x
    x = 785,011,948,081/409,469
  6. Step 6: Final answer
    x = 1,917,146.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.