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Finding the Third Proportional to 15,743 and 22,009

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Solution

The third proportional to 15,743 and 22,009 is: 30,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743 : 22,009 = 22,009 : x
  2. Step 2: Convert to fraction form
    15,743/22,009 = 22,009/x
  3. Step 3: Cross multiply
    15,743x = 22,009 × 22,009
  4. Step 4: Simplify right side
    15,743x = 484,396,081
  5. Step 5: Solve for x
    x = 484,396,081/15,743
  6. Step 6: Final answer
    x = 30,768.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.