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Finding the Third Proportional to 26,880 and 43,156

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Solution

The third proportional to 26,880 and 43,156 is: 69,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 43,156 = 43,156 : x
  2. Step 2: Convert to fraction form
    26,880/43,156 = 43,156/x
  3. Step 3: Cross multiply
    26,880x = 43,156 × 43,156
  4. Step 4: Simplify right side
    26,880x = 1,862,440,336
  5. Step 5: Solve for x
    x = 1,862,440,336/26,880
  6. Step 6: Final answer
    x = 69,287.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.