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Finding the Third Proportional to 18,409 and 39,760

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Solution

The third proportional to 18,409 and 39,760 is: 85,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409 : 39,760 = 39,760 : x
  2. Step 2: Convert to fraction form
    18,409/39,760 = 39,760/x
  3. Step 3: Cross multiply
    18,409x = 39,760 × 39,760
  4. Step 4: Simplify right side
    18,409x = 1,580,857,600
  5. Step 5: Solve for x
    x = 1,580,857,600/18,409
  6. Step 6: Final answer
    x = 85,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.