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Finding the Third Proportional to 63,824 and 138,839

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Solution

The third proportional to 63,824 and 138,839 is: 302,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,824 : 138,839 = 138,839 : x
  2. Step 2: Convert to fraction form
    63,824/138,839 = 138,839/x
  3. Step 3: Cross multiply
    63,824x = 138,839 × 138,839
  4. Step 4: Simplify right side
    63,824x = 19,276,267,921
  5. Step 5: Solve for x
    x = 19,276,267,921/63,824
  6. Step 6: Final answer
    x = 302,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.