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Finding the Third Proportional to 18,356 and 37,684

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Solution

The third proportional to 18,356 and 37,684 is: 77,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356 : 37,684 = 37,684 : x
  2. Step 2: Convert to fraction form
    18,356/37,684 = 37,684/x
  3. Step 3: Cross multiply
    18,356x = 37,684 × 37,684
  4. Step 4: Simplify right side
    18,356x = 1,420,083,856
  5. Step 5: Solve for x
    x = 1,420,083,856/18,356
  6. Step 6: Final answer
    x = 77,363.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.