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Finding the Third Proportional to 76,920 and 186,168

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Solution

The third proportional to 76,920 and 186,168 is: 450,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,920 : 186,168 = 186,168 : x
  2. Step 2: Convert to fraction form
    76,920/186,168 = 186,168/x
  3. Step 3: Cross multiply
    76,920x = 186,168 × 186,168
  4. Step 4: Simplify right side
    76,920x = 34,658,524,224
  5. Step 5: Solve for x
    x = 34,658,524,224/76,920
  6. Step 6: Final answer
    x = 450,578.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.