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Finding the Third Proportional to 37,974 and 57,129

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Solution

The third proportional to 37,974 and 57,129 is: 85,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974 : 57,129 = 57,129 : x
  2. Step 2: Convert to fraction form
    37,974/57,129 = 57,129/x
  3. Step 3: Cross multiply
    37,974x = 57,129 × 57,129
  4. Step 4: Simplify right side
    37,974x = 3,263,722,641
  5. Step 5: Solve for x
    x = 3,263,722,641/37,974
  6. Step 6: Final answer
    x = 85,946.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.