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Finding the Third Proportional to 37,620 and 81,122

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Solution

The third proportional to 37,620 and 81,122 is: 174,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,620 : 81,122 = 81,122 : x
  2. Step 2: Convert to fraction form
    37,620/81,122 = 81,122/x
  3. Step 3: Cross multiply
    37,620x = 81,122 × 81,122
  4. Step 4: Simplify right side
    37,620x = 6,580,778,884
  5. Step 5: Solve for x
    x = 6,580,778,884/37,620
  6. Step 6: Final answer
    x = 174,927.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.