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Finding the Third Proportional to 37,840 and 81,115

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Solution

The third proportional to 37,840 and 81,115 is: 173,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840 : 81,115 = 81,115 : x
  2. Step 2: Convert to fraction form
    37,840/81,115 = 81,115/x
  3. Step 3: Cross multiply
    37,840x = 81,115 × 81,115
  4. Step 4: Simplify right side
    37,840x = 6,579,643,225
  5. Step 5: Solve for x
    x = 6,579,643,225/37,840
  6. Step 6: Final answer
    x = 173,880.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.