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Finding the Third Proportional to 19,660 and 38,324

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Solution

The third proportional to 19,660 and 38,324 is: 74,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 38,324 = 38,324 : x
  2. Step 2: Convert to fraction form
    19,660/38,324 = 38,324/x
  3. Step 3: Cross multiply
    19,660x = 38,324 × 38,324
  4. Step 4: Simplify right side
    19,660x = 1,468,728,976
  5. Step 5: Solve for x
    x = 1,468,728,976/19,660
  6. Step 6: Final answer
    x = 74,706.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.