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Finding the Third Proportional to 102,880 and 218,400

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Solution

The third proportional to 102,880 and 218,400 is: 463,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,880 : 218,400 = 218,400 : x
  2. Step 2: Convert to fraction form
    102,880/218,400 = 218,400/x
  3. Step 3: Cross multiply
    102,880x = 218,400 × 218,400
  4. Step 4: Simplify right side
    102,880x = 47,698,560,000
  5. Step 5: Solve for x
    x = 47,698,560,000/102,880
  6. Step 6: Final answer
    x = 463,632.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.