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Finding the Third Proportional to 13,739 and 28,069

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Solution

The third proportional to 13,739 and 28,069 is: 57,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739 : 28,069 = 28,069 : x
  2. Step 2: Convert to fraction form
    13,739/28,069 = 28,069/x
  3. Step 3: Cross multiply
    13,739x = 28,069 × 28,069
  4. Step 4: Simplify right side
    13,739x = 787,868,761
  5. Step 5: Solve for x
    x = 787,868,761/13,739
  6. Step 6: Final answer
    x = 57,345.42

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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.