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Finding the Third Proportional to 19,542 and 39,774

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Solution

The third proportional to 19,542 and 39,774 is: 80,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 39,774 = 39,774 : x
  2. Step 2: Convert to fraction form
    19,542/39,774 = 39,774/x
  3. Step 3: Cross multiply
    19,542x = 39,774 × 39,774
  4. Step 4: Simplify right side
    19,542x = 1,581,971,076
  5. Step 5: Solve for x
    x = 1,581,971,076/19,542
  6. Step 6: Final answer
    x = 80,952.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.