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Finding the Third Proportional to 63,728 and 138,634

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Solution

The third proportional to 63,728 and 138,634 is: 301,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,728 : 138,634 = 138,634 : x
  2. Step 2: Convert to fraction form
    63,728/138,634 = 138,634/x
  3. Step 3: Cross multiply
    63,728x = 138,634 × 138,634
  4. Step 4: Simplify right side
    63,728x = 19,219,385,956
  5. Step 5: Solve for x
    x = 19,219,385,956/63,728
  6. Step 6: Final answer
    x = 301,584.64

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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.