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Finding the Third Proportional to 20,409 and 32,469

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Solution

The third proportional to 20,409 and 32,469 is: 51,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 32,469 = 32,469 : x
  2. Step 2: Convert to fraction form
    20,409/32,469 = 32,469/x
  3. Step 3: Cross multiply
    20,409x = 32,469 × 32,469
  4. Step 4: Simplify right side
    20,409x = 1,054,235,961
  5. Step 5: Solve for x
    x = 1,054,235,961/20,409
  6. Step 6: Final answer
    x = 51,655.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.