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Finding the Third Proportional to 27,880 and 57,690

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Solution

The third proportional to 27,880 and 57,690 is: 119,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 57,690 = 57,690 : x
  2. Step 2: Convert to fraction form
    27,880/57,690 = 57,690/x
  3. Step 3: Cross multiply
    27,880x = 57,690 × 57,690
  4. Step 4: Simplify right side
    27,880x = 3,328,136,100
  5. Step 5: Solve for x
    x = 3,328,136,100/27,880
  6. Step 6: Final answer
    x = 119,373.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.