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Finding the Third Proportional to 57,148 and 117,080

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Solution

The third proportional to 57,148 and 117,080 is: 239,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,148 : 117,080 = 117,080 : x
  2. Step 2: Convert to fraction form
    57,148/117,080 = 117,080/x
  3. Step 3: Cross multiply
    57,148x = 117,080 × 117,080
  4. Step 4: Simplify right side
    57,148x = 13,707,726,400
  5. Step 5: Solve for x
    x = 13,707,726,400/57,148
  6. Step 6: Final answer
    x = 239,863.62

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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.