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Finding the Third Proportional to 2,213.58 and 2,709.07

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Solution

The third proportional to 2,213.58 and 2,709.07 is: 3,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.58 : 2,709.07 = 2,709.07 : x
  2. Step 2: Convert to fraction form
    2,213.58/2,709.07 = 2,709.07/x
  3. Step 3: Cross multiply
    2,213.58x = 2,709.07 × 2,709.07
  4. Step 4: Simplify right side
    2,213.58x = 7,339,061.96
  5. Step 5: Solve for x
    x = 7,339,061.96/2,213.58
  6. Step 6: Final answer
    x = 3,315.47

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.