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Finding the Third Proportional to 37,838 and 81,372

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Solution

The third proportional to 37,838 and 81,372 is: 174,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838 : 81,372 = 81,372 : x
  2. Step 2: Convert to fraction form
    37,838/81,372 = 81,372/x
  3. Step 3: Cross multiply
    37,838x = 81,372 × 81,372
  4. Step 4: Simplify right side
    37,838x = 6,621,402,384
  5. Step 5: Solve for x
    x = 6,621,402,384/37,838
  6. Step 6: Final answer
    x = 174,993.46

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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.