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Finding the Third Proportional to 57,056 and 137,448

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Solution

The third proportional to 57,056 and 137,448 is: 331,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 137,448 = 137,448 : x
  2. Step 2: Convert to fraction form
    57,056/137,448 = 137,448/x
  3. Step 3: Cross multiply
    57,056x = 137,448 × 137,448
  4. Step 4: Simplify right side
    57,056x = 18,891,952,704
  5. Step 5: Solve for x
    x = 18,891,952,704/57,056
  6. Step 6: Final answer
    x = 331,112.46

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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.