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Finding the Third Proportional to 18,558 and 38,409

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Solution

The third proportional to 18,558 and 38,409 is: 79,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558 : 38,409 = 38,409 : x
  2. Step 2: Convert to fraction form
    18,558/38,409 = 38,409/x
  3. Step 3: Cross multiply
    18,558x = 38,409 × 38,409
  4. Step 4: Simplify right side
    18,558x = 1,475,251,281
  5. Step 5: Solve for x
    x = 1,475,251,281/18,558
  6. Step 6: Final answer
    x = 79,494.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.