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Finding the Third Proportional to 258,858 and 401,743

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Solution

The third proportional to 258,858 and 401,743 is: 623,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,858 : 401,743 = 401,743 : x
  2. Step 2: Convert to fraction form
    258,858/401,743 = 401,743/x
  3. Step 3: Cross multiply
    258,858x = 401,743 × 401,743
  4. Step 4: Simplify right side
    258,858x = 161,397,438,049
  5. Step 5: Solve for x
    x = 161,397,438,049/258,858
  6. Step 6: Final answer
    x = 623,497.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.