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Finding the Third Proportional to 19,731 and 41,679

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Solution

The third proportional to 19,731 and 41,679 is: 88,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 41,679 = 41,679 : x
  2. Step 2: Convert to fraction form
    19,731/41,679 = 41,679/x
  3. Step 3: Cross multiply
    19,731x = 41,679 × 41,679
  4. Step 4: Simplify right side
    19,731x = 1,737,139,041
  5. Step 5: Solve for x
    x = 1,737,139,041/19,731
  6. Step 6: Final answer
    x = 88,041.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.