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Finding the Third Proportional to 258,576 and 401,796

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Solution

The third proportional to 258,576 and 401,796 is: 624,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,576 : 401,796 = 401,796 : x
  2. Step 2: Convert to fraction form
    258,576/401,796 = 401,796/x
  3. Step 3: Cross multiply
    258,576x = 401,796 × 401,796
  4. Step 4: Simplify right side
    258,576x = 161,440,025,616
  5. Step 5: Solve for x
    x = 161,440,025,616/258,576
  6. Step 6: Final answer
    x = 624,342.65

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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.