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Finding the Third Proportional to 27,780 and 56,589

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Solution

The third proportional to 27,780 and 56,589 is: 115,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 56,589 = 56,589 : x
  2. Step 2: Convert to fraction form
    27,780/56,589 = 56,589/x
  3. Step 3: Cross multiply
    27,780x = 56,589 × 56,589
  4. Step 4: Simplify right side
    27,780x = 3,202,314,921
  5. Step 5: Solve for x
    x = 3,202,314,921/27,780
  6. Step 6: Final answer
    x = 115,274.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.