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Finding the Third Proportional to 57,138 and 133,530

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Solution

The third proportional to 57,138 and 133,530 is: 312,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138 : 133,530 = 133,530 : x
  2. Step 2: Convert to fraction form
    57,138/133,530 = 133,530/x
  3. Step 3: Cross multiply
    57,138x = 133,530 × 133,530
  4. Step 4: Simplify right side
    57,138x = 17,830,260,900
  5. Step 5: Solve for x
    x = 17,830,260,900/57,138
  6. Step 6: Final answer
    x = 312,056.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.