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Finding the Third Proportional to 134,137 and 290,144

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Solution

The third proportional to 134,137 and 290,144 is: 627,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,137 : 290,144 = 290,144 : x
  2. Step 2: Convert to fraction form
    134,137/290,144 = 290,144/x
  3. Step 3: Cross multiply
    134,137x = 290,144 × 290,144
  4. Step 4: Simplify right side
    134,137x = 84,183,540,736
  5. Step 5: Solve for x
    x = 84,183,540,736/134,137
  6. Step 6: Final answer
    x = 627,593.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.