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Finding the Third Proportional to 57,028 and 137,386

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Solution

The third proportional to 57,028 and 137,386 is: 330,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,028 : 137,386 = 137,386 : x
  2. Step 2: Convert to fraction form
    57,028/137,386 = 137,386/x
  3. Step 3: Cross multiply
    57,028x = 137,386 × 137,386
  4. Step 4: Simplify right side
    57,028x = 18,874,912,996
  5. Step 5: Solve for x
    x = 18,874,912,996/57,028
  6. Step 6: Final answer
    x = 330,976.24

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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.