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Finding the Third Proportional to 3,213.42 and 3,669.05

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Solution

The third proportional to 3,213.42 and 3,669.05 is: 4,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.42 : 3,669.05 = 3,669.05 : x
  2. Step 2: Convert to fraction form
    3,213.42/3,669.05 = 3,669.05/x
  3. Step 3: Cross multiply
    3,213.42x = 3,669.05 × 3,669.05
  4. Step 4: Simplify right side
    3,213.42x = 13,461,904.97
  5. Step 5: Solve for x
    x = 13,461,904.97/3,213.42
  6. Step 6: Final answer
    x = 4,189.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.