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Finding the Third Proportional to 18,409 and 38,459

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Solution

The third proportional to 18,409 and 38,459 is: 80,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409 : 38,459 = 38,459 : x
  2. Step 2: Convert to fraction form
    18,409/38,459 = 38,459/x
  3. Step 3: Cross multiply
    18,409x = 38,459 × 38,459
  4. Step 4: Simplify right side
    18,409x = 1,479,094,681
  5. Step 5: Solve for x
    x = 1,479,094,681/18,409
  6. Step 6: Final answer
    x = 80,346.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.