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Finding the Third Proportional to 16,780 and 36,168

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Solution

The third proportional to 16,780 and 36,168 is: 77,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 36,168 = 36,168 : x
  2. Step 2: Convert to fraction form
    16,780/36,168 = 36,168/x
  3. Step 3: Cross multiply
    16,780x = 36,168 × 36,168
  4. Step 4: Simplify right side
    16,780x = 1,308,124,224
  5. Step 5: Solve for x
    x = 1,308,124,224/16,780
  6. Step 6: Final answer
    x = 77,957.34

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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.