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Finding the Third Proportional to 18,542 and 39,722

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Solution

The third proportional to 18,542 and 39,722 is: 85,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542 : 39,722 = 39,722 : x
  2. Step 2: Convert to fraction form
    18,542/39,722 = 39,722/x
  3. Step 3: Cross multiply
    18,542x = 39,722 × 39,722
  4. Step 4: Simplify right side
    18,542x = 1,577,837,284
  5. Step 5: Solve for x
    x = 1,577,837,284/18,542
  6. Step 6: Final answer
    x = 85,095.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.