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Finding the Third Proportional to 18,947 and 28,684

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Solution

The third proportional to 18,947 and 28,684 is: 43,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947 : 28,684 = 28,684 : x
  2. Step 2: Convert to fraction form
    18,947/28,684 = 28,684/x
  3. Step 3: Cross multiply
    18,947x = 28,684 × 28,684
  4. Step 4: Simplify right side
    18,947x = 822,771,856
  5. Step 5: Solve for x
    x = 822,771,856/18,947
  6. Step 6: Final answer
    x = 43,424.91

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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.