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Finding the Third Proportional to 39,780 and 84,168

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Solution

The third proportional to 39,780 and 84,168 is: 178,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780 : 84,168 = 84,168 : x
  2. Step 2: Convert to fraction form
    39,780/84,168 = 84,168/x
  3. Step 3: Cross multiply
    39,780x = 84,168 × 84,168
  4. Step 4: Simplify right side
    39,780x = 7,084,252,224
  5. Step 5: Solve for x
    x = 7,084,252,224/39,780
  6. Step 6: Final answer
    x = 178,085.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.