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Finding the Third Proportional to 37,710 and 81,974

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Solution

The third proportional to 37,710 and 81,974 is: 178,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710 : 81,974 = 81,974 : x
  2. Step 2: Convert to fraction form
    37,710/81,974 = 81,974/x
  3. Step 3: Cross multiply
    37,710x = 81,974 × 81,974
  4. Step 4: Simplify right side
    37,710x = 6,719,736,676
  5. Step 5: Solve for x
    x = 6,719,736,676/37,710
  6. Step 6: Final answer
    x = 178,195.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.