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Finding the Third Proportional to 195,043 and 405,551

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Solution

The third proportional to 195,043 and 405,551 is: 843,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,043 : 405,551 = 405,551 : x
  2. Step 2: Convert to fraction form
    195,043/405,551 = 405,551/x
  3. Step 3: Cross multiply
    195,043x = 405,551 × 405,551
  4. Step 4: Simplify right side
    195,043x = 164,471,613,601
  5. Step 5: Solve for x
    x = 164,471,613,601/195,043
  6. Step 6: Final answer
    x = 843,258.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.