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Finding the Third Proportional to 76,684 and 171,224

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Solution

The third proportional to 76,684 and 171,224 is: 382,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684 : 171,224 = 171,224 : x
  2. Step 2: Convert to fraction form
    76,684/171,224 = 171,224/x
  3. Step 3: Cross multiply
    76,684x = 171,224 × 171,224
  4. Step 4: Simplify right side
    76,684x = 29,317,658,176
  5. Step 5: Solve for x
    x = 29,317,658,176/76,684
  6. Step 6: Final answer
    x = 382,317.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.