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Finding the Third Proportional to 29,138 and 63,728

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Solution

The third proportional to 29,138 and 63,728 is: 139,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138 : 63,728 = 63,728 : x
  2. Step 2: Convert to fraction form
    29,138/63,728 = 63,728/x
  3. Step 3: Cross multiply
    29,138x = 63,728 × 63,728
  4. Step 4: Simplify right side
    29,138x = 4,061,257,984
  5. Step 5: Solve for x
    x = 4,061,257,984/29,138
  6. Step 6: Final answer
    x = 139,380.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.