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Finding the Third Proportional to 257,641 and 356,004

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Solution

The third proportional to 257,641 and 356,004 is: 491,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,641 : 356,004 = 356,004 : x
  2. Step 2: Convert to fraction form
    257,641/356,004 = 356,004/x
  3. Step 3: Cross multiply
    257,641x = 356,004 × 356,004
  4. Step 4: Simplify right side
    257,641x = 126,738,848,016
  5. Step 5: Solve for x
    x = 126,738,848,016/257,641
  6. Step 6: Final answer
    x = 491,920.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.