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Finding the Third Proportional to 137,976 and 208,044

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Solution

The third proportional to 137,976 and 208,044 is: 313,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 208,044 = 208,044 : x
  2. Step 2: Convert to fraction form
    137,976/208,044 = 208,044/x
  3. Step 3: Cross multiply
    137,976x = 208,044 × 208,044
  4. Step 4: Simplify right side
    137,976x = 43,282,305,936
  5. Step 5: Solve for x
    x = 43,282,305,936/137,976
  6. Step 6: Final answer
    x = 313,694.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.