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Finding the Third Proportional to 57,038 and 137,411

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Solution

The third proportional to 57,038 and 137,411 is: 331,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038 : 137,411 = 137,411 : x
  2. Step 2: Convert to fraction form
    57,038/137,411 = 137,411/x
  3. Step 3: Cross multiply
    57,038x = 137,411 × 137,411
  4. Step 4: Simplify right side
    57,038x = 18,881,782,921
  5. Step 5: Solve for x
    x = 18,881,782,921/57,038
  6. Step 6: Final answer
    x = 331,038.66

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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.