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Finding the Third Proportional to 57,042 and 137,420

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Solution

The third proportional to 57,042 and 137,420 is: 331,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 137,420 = 137,420 : x
  2. Step 2: Convert to fraction form
    57,042/137,420 = 137,420/x
  3. Step 3: Cross multiply
    57,042x = 137,420 × 137,420
  4. Step 4: Simplify right side
    57,042x = 18,884,256,400
  5. Step 5: Solve for x
    x = 18,884,256,400/57,042
  6. Step 6: Final answer
    x = 331,058.81

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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.