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Finding the Third Proportional to 3,630.38 and 8,742.94

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Solution

The third proportional to 3,630.38 and 8,742.94 is: 21,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.38 : 8,742.94 = 8,742.94 : x
  2. Step 2: Convert to fraction form
    3,630.38/8,742.94 = 8,742.94/x
  3. Step 3: Cross multiply
    3,630.38x = 8,742.94 × 8,742.94
  4. Step 4: Simplify right side
    3,630.38x = 76,438,956.13
  5. Step 5: Solve for x
    x = 76,438,956.13/3,630.38
  6. Step 6: Final answer
    x = 21,055.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.