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Finding the Third Proportional to 81,321 and 176,216

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Solution

The third proportional to 81,321 and 176,216 is: 381,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,321 : 176,216 = 176,216 : x
  2. Step 2: Convert to fraction form
    81,321/176,216 = 176,216/x
  3. Step 3: Cross multiply
    81,321x = 176,216 × 176,216
  4. Step 4: Simplify right side
    81,321x = 31,052,078,656
  5. Step 5: Solve for x
    x = 31,052,078,656/81,321
  6. Step 6: Final answer
    x = 381,845.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.