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Finding the Third Proportional to 19,894 and 28,112

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Solution

The third proportional to 19,894 and 28,112 is: 39,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894 : 28,112 = 28,112 : x
  2. Step 2: Convert to fraction form
    19,894/28,112 = 28,112/x
  3. Step 3: Cross multiply
    19,894x = 28,112 × 28,112
  4. Step 4: Simplify right side
    19,894x = 790,284,544
  5. Step 5: Solve for x
    x = 790,284,544/19,894
  6. Step 6: Final answer
    x = 39,724.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.