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Finding the Third Proportional to 15,008 and 20,806

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Solution

The third proportional to 15,008 and 20,806 is: 28,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,008 : 20,806 = 20,806 : x
  2. Step 2: Convert to fraction form
    15,008/20,806 = 20,806/x
  3. Step 3: Cross multiply
    15,008x = 20,806 × 20,806
  4. Step 4: Simplify right side
    15,008x = 432,889,636
  5. Step 5: Solve for x
    x = 432,889,636/15,008
  6. Step 6: Final answer
    x = 28,843.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.