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Finding the Third Proportional to 27,589 and 43,709

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Solution

The third proportional to 27,589 and 43,709 is: 69,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589 : 43,709 = 43,709 : x
  2. Step 2: Convert to fraction form
    27,589/43,709 = 43,709/x
  3. Step 3: Cross multiply
    27,589x = 43,709 × 43,709
  4. Step 4: Simplify right side
    27,589x = 1,910,476,681
  5. Step 5: Solve for x
    x = 1,910,476,681/27,589
  6. Step 6: Final answer
    x = 69,247.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.