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Finding the Third Proportional to 57,105 and 137,403

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Solution

The third proportional to 57,105 and 137,403 is: 330,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105 : 137,403 = 137,403 : x
  2. Step 2: Convert to fraction form
    57,105/137,403 = 137,403/x
  3. Step 3: Cross multiply
    57,105x = 137,403 × 137,403
  4. Step 4: Simplify right side
    57,105x = 18,879,584,409
  5. Step 5: Solve for x
    x = 18,879,584,409/57,105
  6. Step 6: Final answer
    x = 330,611.76

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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.