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Finding the Third Proportional to 133,896 and 207,444

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Solution

The third proportional to 133,896 and 207,444 is: 321,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,896 : 207,444 = 207,444 : x
  2. Step 2: Convert to fraction form
    133,896/207,444 = 207,444/x
  3. Step 3: Cross multiply
    133,896x = 207,444 × 207,444
  4. Step 4: Simplify right side
    133,896x = 43,033,013,136
  5. Step 5: Solve for x
    x = 43,033,013,136/133,896
  6. Step 6: Final answer
    x = 321,391.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.