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Finding the Third Proportional to 20,009 and 29,623

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Solution

The third proportional to 20,009 and 29,623 is: 43,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 29,623 = 29,623 : x
  2. Step 2: Convert to fraction form
    20,009/29,623 = 29,623/x
  3. Step 3: Cross multiply
    20,009x = 29,623 × 29,623
  4. Step 4: Simplify right side
    20,009x = 877,522,129
  5. Step 5: Solve for x
    x = 877,522,129/20,009
  6. Step 6: Final answer
    x = 43,856.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.