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Finding the Third Proportional to 76,816 and 115,224

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Solution

The third proportional to 76,816 and 115,224 is: 172,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816 : 115,224 = 115,224 : x
  2. Step 2: Convert to fraction form
    76,816/115,224 = 115,224/x
  3. Step 3: Cross multiply
    76,816x = 115,224 × 115,224
  4. Step 4: Simplify right side
    76,816x = 13,276,570,176
  5. Step 5: Solve for x
    x = 13,276,570,176/76,816
  6. Step 6: Final answer
    x = 172,836

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.