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Finding the Third Proportional to 18,996 and 28,338

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Solution

The third proportional to 18,996 and 28,338 is: 42,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996 : 28,338 = 28,338 : x
  2. Step 2: Convert to fraction form
    18,996/28,338 = 28,338/x
  3. Step 3: Cross multiply
    18,996x = 28,338 × 28,338
  4. Step 4: Simplify right side
    18,996x = 803,042,244
  5. Step 5: Solve for x
    x = 803,042,244/18,996
  6. Step 6: Final answer
    x = 42,274.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.