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Finding the Third Proportional to 37,720 and 81,211

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Solution

The third proportional to 37,720 and 81,211 is: 174,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720 : 81,211 = 81,211 : x
  2. Step 2: Convert to fraction form
    37,720/81,211 = 81,211/x
  3. Step 3: Cross multiply
    37,720x = 81,211 × 81,211
  4. Step 4: Simplify right side
    37,720x = 6,595,226,521
  5. Step 5: Solve for x
    x = 6,595,226,521/37,720
  6. Step 6: Final answer
    x = 174,846.94

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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.