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Finding the Third Proportional to 57,608 and 137,396

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Solution

The third proportional to 57,608 and 137,396 is: 327,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,608 : 137,396 = 137,396 : x
  2. Step 2: Convert to fraction form
    57,608/137,396 = 137,396/x
  3. Step 3: Cross multiply
    57,608x = 137,396 × 137,396
  4. Step 4: Simplify right side
    57,608x = 18,877,660,816
  5. Step 5: Solve for x
    x = 18,877,660,816/57,608
  6. Step 6: Final answer
    x = 327,691.65

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.