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Finding the Third Proportional to 57,285 and 135,444

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Solution

The third proportional to 57,285 and 135,444 is: 320,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285 : 135,444 = 135,444 : x
  2. Step 2: Convert to fraction form
    57,285/135,444 = 135,444/x
  3. Step 3: Cross multiply
    57,285x = 135,444 × 135,444
  4. Step 4: Simplify right side
    57,285x = 18,345,077,136
  5. Step 5: Solve for x
    x = 18,345,077,136/57,285
  6. Step 6: Final answer
    x = 320,242.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.