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Finding the Third Proportional to 57,138 and 117,060

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Solution

The third proportional to 57,138 and 117,060 is: 239,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138 : 117,060 = 117,060 : x
  2. Step 2: Convert to fraction form
    57,138/117,060 = 117,060/x
  3. Step 3: Cross multiply
    57,138x = 117,060 × 117,060
  4. Step 4: Simplify right side
    57,138x = 13,703,043,600
  5. Step 5: Solve for x
    x = 13,703,043,600/57,138
  6. Step 6: Final answer
    x = 239,823.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.