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Finding the Third Proportional to 2,700 and 3,953.81

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Solution

The third proportional to 2,700 and 3,953.81 is: 5,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 3,953.81 = 3,953.81 : x
  2. Step 2: Convert to fraction form
    2,700/3,953.81 = 3,953.81/x
  3. Step 3: Cross multiply
    2,700x = 3,953.81 × 3,953.81
  4. Step 4: Simplify right side
    2,700x = 15,632,633.29
  5. Step 5: Solve for x
    x = 15,632,633.29/2,700
  6. Step 6: Final answer
    x = 5,789.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.