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Finding the Third Proportional to 81,135 and 174,753

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Solution

The third proportional to 81,135 and 174,753 is: 376,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,135 : 174,753 = 174,753 : x
  2. Step 2: Convert to fraction form
    81,135/174,753 = 174,753/x
  3. Step 3: Cross multiply
    81,135x = 174,753 × 174,753
  4. Step 4: Simplify right side
    81,135x = 30,538,611,009
  5. Step 5: Solve for x
    x = 30,538,611,009/81,135
  6. Step 6: Final answer
    x = 376,392.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.