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Finding the Third Proportional to 137,744 and 212,844

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Solution

The third proportional to 137,744 and 212,844 is: 328,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,744 : 212,844 = 212,844 : x
  2. Step 2: Convert to fraction form
    137,744/212,844 = 212,844/x
  3. Step 3: Cross multiply
    137,744x = 212,844 × 212,844
  4. Step 4: Simplify right side
    137,744x = 45,302,568,336
  5. Step 5: Solve for x
    x = 45,302,568,336/137,744
  6. Step 6: Final answer
    x = 328,889.59

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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.