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Finding the Third Proportional to 2,045.11 and 3,243.66

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Solution

The third proportional to 2,045.11 and 3,243.66 is: 5,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.11 : 3,243.66 = 3,243.66 : x
  2. Step 2: Convert to fraction form
    2,045.11/3,243.66 = 3,243.66/x
  3. Step 3: Cross multiply
    2,045.11x = 3,243.66 × 3,243.66
  4. Step 4: Simplify right side
    2,045.11x = 10,521,305.87
  5. Step 5: Solve for x
    x = 10,521,305.87/2,045.11
  6. Step 6: Final answer
    x = 5,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.