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Finding the Third Proportional to 111,880 and 218,080

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Solution

The third proportional to 111,880 and 218,080 is: 425,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,880 : 218,080 = 218,080 : x
  2. Step 2: Convert to fraction form
    111,880/218,080 = 218,080/x
  3. Step 3: Cross multiply
    111,880x = 218,080 × 218,080
  4. Step 4: Simplify right side
    111,880x = 47,558,886,400
  5. Step 5: Solve for x
    x = 47,558,886,400/111,880
  6. Step 6: Final answer
    x = 425,088.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.