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Finding the Third Proportional to 4,134.80 and 8,619.86

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Solution

The third proportional to 4,134.80 and 8,619.86 is: 17,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.80 : 8,619.86 = 8,619.86 : x
  2. Step 2: Convert to fraction form
    4,134.80/8,619.86 = 8,619.86/x
  3. Step 3: Cross multiply
    4,134.80x = 8,619.86 × 8,619.86
  4. Step 4: Simplify right side
    4,134.80x = 74,301,908.30
  5. Step 5: Solve for x
    x = 74,301,908.30/4,134.80
  6. Step 6: Final answer
    x = 17,969.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.