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Finding the Third Proportional to 19,581 and 38,177

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Solution

The third proportional to 19,581 and 38,177 is: 74,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581 : 38,177 = 38,177 : x
  2. Step 2: Convert to fraction form
    19,581/38,177 = 38,177/x
  3. Step 3: Cross multiply
    19,581x = 38,177 × 38,177
  4. Step 4: Simplify right side
    19,581x = 1,457,483,329
  5. Step 5: Solve for x
    x = 1,457,483,329/19,581
  6. Step 6: Final answer
    x = 74,433.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.