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Finding the Third Proportional to 81,905 and 178,964

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Solution

The third proportional to 81,905 and 178,964 is: 391,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,905 : 178,964 = 178,964 : x
  2. Step 2: Convert to fraction form
    81,905/178,964 = 178,964/x
  3. Step 3: Cross multiply
    81,905x = 178,964 × 178,964
  4. Step 4: Simplify right side
    81,905x = 32,028,113,296
  5. Step 5: Solve for x
    x = 32,028,113,296/81,905
  6. Step 6: Final answer
    x = 391,039.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.