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Finding the Third Proportional to 57,603 and 82,372

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Solution

The third proportional to 57,603 and 82,372 is: 117,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603 : 82,372 = 82,372 : x
  2. Step 2: Convert to fraction form
    57,603/82,372 = 82,372/x
  3. Step 3: Cross multiply
    57,603x = 82,372 × 82,372
  4. Step 4: Simplify right side
    57,603x = 6,785,146,384
  5. Step 5: Solve for x
    x = 6,785,146,384/57,603
  6. Step 6: Final answer
    x = 117,791.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.