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Finding the Third Proportional to 13,889 and 28,294

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Solution

The third proportional to 13,889 and 28,294 is: 57,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889 : 28,294 = 28,294 : x
  2. Step 2: Convert to fraction form
    13,889/28,294 = 28,294/x
  3. Step 3: Cross multiply
    13,889x = 28,294 × 28,294
  4. Step 4: Simplify right side
    13,889x = 800,550,436
  5. Step 5: Solve for x
    x = 800,550,436/13,889
  6. Step 6: Final answer
    x = 57,639.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.