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Finding the Third Proportional to 57,066 and 137,477

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Solution

The third proportional to 57,066 and 137,477 is: 331,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066 : 137,477 = 137,477 : x
  2. Step 2: Convert to fraction form
    57,066/137,477 = 137,477/x
  3. Step 3: Cross multiply
    57,066x = 137,477 × 137,477
  4. Step 4: Simplify right side
    57,066x = 18,899,925,529
  5. Step 5: Solve for x
    x = 18,899,925,529/57,066
  6. Step 6: Final answer
    x = 331,194.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.