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Finding the Third Proportional to 3,702.19 and 8,739.69

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Solution

The third proportional to 3,702.19 and 8,739.69 is: 20,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.19 : 8,739.69 = 8,739.69 : x
  2. Step 2: Convert to fraction form
    3,702.19/8,739.69 = 8,739.69/x
  3. Step 3: Cross multiply
    3,702.19x = 8,739.69 × 8,739.69
  4. Step 4: Simplify right side
    3,702.19x = 76,382,257.09
  5. Step 5: Solve for x
    x = 76,382,257.09/3,702.19
  6. Step 6: Final answer
    x = 20,631.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.