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Finding the Third Proportional to 57,489 and 123,378

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Solution

The third proportional to 57,489 and 123,378 is: 264,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489 : 123,378 = 123,378 : x
  2. Step 2: Convert to fraction form
    57,489/123,378 = 123,378/x
  3. Step 3: Cross multiply
    57,489x = 123,378 × 123,378
  4. Step 4: Simplify right side
    57,489x = 15,222,130,884
  5. Step 5: Solve for x
    x = 15,222,130,884/57,489
  6. Step 6: Final answer
    x = 264,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.