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Finding the Third Proportional to 163,824 and 257,036

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Solution

The third proportional to 163,824 and 257,036 is: 403,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 257,036 = 257,036 : x
  2. Step 2: Convert to fraction form
    163,824/257,036 = 257,036/x
  3. Step 3: Cross multiply
    163,824x = 257,036 × 257,036
  4. Step 4: Simplify right side
    163,824x = 66,067,505,296
  5. Step 5: Solve for x
    x = 66,067,505,296/163,824
  6. Step 6: Final answer
    x = 403,283.43

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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.