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Finding the Third Proportional to 27,489 and 56,436

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Solution

The third proportional to 27,489 and 56,436 is: 115,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489 : 56,436 = 56,436 : x
  2. Step 2: Convert to fraction form
    27,489/56,436 = 56,436/x
  3. Step 3: Cross multiply
    27,489x = 56,436 × 56,436
  4. Step 4: Simplify right side
    27,489x = 3,185,022,096
  5. Step 5: Solve for x
    x = 3,185,022,096/27,489
  6. Step 6: Final answer
    x = 115,865.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.