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Finding the Third Proportional to 19,792 and 39,968

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Solution

The third proportional to 19,792 and 39,968 is: 80,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792 : 39,968 = 39,968 : x
  2. Step 2: Convert to fraction form
    19,792/39,968 = 39,968/x
  3. Step 3: Cross multiply
    19,792x = 39,968 × 39,968
  4. Step 4: Simplify right side
    19,792x = 1,597,441,024
  5. Step 5: Solve for x
    x = 1,597,441,024/19,792
  6. Step 6: Final answer
    x = 80,711.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.