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Finding the Third Proportional to 15,684 and 33,820

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Solution

The third proportional to 15,684 and 33,820 is: 72,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 33,820 = 33,820 : x
  2. Step 2: Convert to fraction form
    15,684/33,820 = 33,820/x
  3. Step 3: Cross multiply
    15,684x = 33,820 × 33,820
  4. Step 4: Simplify right side
    15,684x = 1,143,792,400
  5. Step 5: Solve for x
    x = 1,143,792,400/15,684
  6. Step 6: Final answer
    x = 72,927.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.