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Finding the Third Proportional to 19,451 and 39,616

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Solution

The third proportional to 19,451 and 39,616 is: 80,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451 : 39,616 = 39,616 : x
  2. Step 2: Convert to fraction form
    19,451/39,616 = 39,616/x
  3. Step 3: Cross multiply
    19,451x = 39,616 × 39,616
  4. Step 4: Simplify right side
    19,451x = 1,569,427,456
  5. Step 5: Solve for x
    x = 1,569,427,456/19,451
  6. Step 6: Final answer
    x = 80,686.21

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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.