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Finding the Third Proportional to 19,581 and 39,846

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Solution

The third proportional to 19,581 and 39,846 is: 81,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581 : 39,846 = 39,846 : x
  2. Step 2: Convert to fraction form
    19,581/39,846 = 39,846/x
  3. Step 3: Cross multiply
    19,581x = 39,846 × 39,846
  4. Step 4: Simplify right side
    19,581x = 1,587,703,716
  5. Step 5: Solve for x
    x = 1,587,703,716/19,581
  6. Step 6: Final answer
    x = 81,083.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.