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Finding the Third Proportional to 37,219 and 81,119

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Solution

The third proportional to 37,219 and 81,119 is: 176,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219 : 81,119 = 81,119 : x
  2. Step 2: Convert to fraction form
    37,219/81,119 = 81,119/x
  3. Step 3: Cross multiply
    37,219x = 81,119 × 81,119
  4. Step 4: Simplify right side
    37,219x = 6,580,292,161
  5. Step 5: Solve for x
    x = 6,580,292,161/37,219
  6. Step 6: Final answer
    x = 176,799.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.