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Finding the Third Proportional to 57,015 and 131,974

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Solution

The third proportional to 57,015 and 131,974 is: 305,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,015 : 131,974 = 131,974 : x
  2. Step 2: Convert to fraction form
    57,015/131,974 = 131,974/x
  3. Step 3: Cross multiply
    57,015x = 131,974 × 131,974
  4. Step 4: Simplify right side
    57,015x = 17,417,136,676
  5. Step 5: Solve for x
    x = 17,417,136,676/57,015
  6. Step 6: Final answer
    x = 305,483.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.