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Finding the Third Proportional to 2,220.75 and 4,213.69

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Solution

The third proportional to 2,220.75 and 4,213.69 is: 7,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.75 : 4,213.69 = 4,213.69 : x
  2. Step 2: Convert to fraction form
    2,220.75/4,213.69 = 4,213.69/x
  3. Step 3: Cross multiply
    2,220.75x = 4,213.69 × 4,213.69
  4. Step 4: Simplify right side
    2,220.75x = 17,755,162.35
  5. Step 5: Solve for x
    x = 17,755,162.35/2,220.75
  6. Step 6: Final answer
    x = 7,995.12

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.