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Finding the Third Proportional to 54,841 and 82,936.50

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Solution

The third proportional to 54,841 and 82,936.50 is: 125,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841 : 82,936.50 = 82,936.50 : x
  2. Step 2: Convert to fraction form
    54,841/82,936.50 = 82,936.50/x
  3. Step 3: Cross multiply
    54,841x = 82,936.50 × 82,936.50
  4. Step 4: Simplify right side
    54,841x = 6,878,463,032.25
  5. Step 5: Solve for x
    x = 6,878,463,032.25/54,841
  6. Step 6: Final answer
    x = 125,425.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.