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Finding the Third Proportional to 127,969 and 200,728

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Solution

The third proportional to 127,969 and 200,728 is: 314,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,969 : 200,728 = 200,728 : x
  2. Step 2: Convert to fraction form
    127,969/200,728 = 200,728/x
  3. Step 3: Cross multiply
    127,969x = 200,728 × 200,728
  4. Step 4: Simplify right side
    127,969x = 40,291,729,984
  5. Step 5: Solve for x
    x = 40,291,729,984/127,969
  6. Step 6: Final answer
    x = 314,855.39

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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.