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Finding the Third Proportional to 18,640 and 37,888

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Solution

The third proportional to 18,640 and 37,888 is: 77,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 37,888 = 37,888 : x
  2. Step 2: Convert to fraction form
    18,640/37,888 = 37,888/x
  3. Step 3: Cross multiply
    18,640x = 37,888 × 37,888
  4. Step 4: Simplify right side
    18,640x = 1,435,500,544
  5. Step 5: Solve for x
    x = 1,435,500,544/18,640
  6. Step 6: Final answer
    x = 77,011.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.