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Finding the Third Proportional to 1,805 and 2,213

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Solution

The third proportional to 1,805 and 2,213 is: 2,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805 : 2,213 = 2,213 : x
  2. Step 2: Convert to fraction form
    1,805/2,213 = 2,213/x
  3. Step 3: Cross multiply
    1,805x = 2,213 × 2,213
  4. Step 4: Simplify right side
    1,805x = 4,897,369
  5. Step 5: Solve for x
    x = 4,897,369/1,805
  6. Step 6: Final answer
    x = 2,713.22

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.