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Finding the Third Proportional to 163,896 and 257,256

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Solution

The third proportional to 163,896 and 257,256 is: 403,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,896 : 257,256 = 257,256 : x
  2. Step 2: Convert to fraction form
    163,896/257,256 = 257,256/x
  3. Step 3: Cross multiply
    163,896x = 257,256 × 257,256
  4. Step 4: Simplify right side
    163,896x = 66,180,649,536
  5. Step 5: Solve for x
    x = 66,180,649,536/163,896
  6. Step 6: Final answer
    x = 403,796.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.