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Finding the Third Proportional to 3,914.16 and 8,397.84

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Solution

The third proportional to 3,914.16 and 8,397.84 is: 18,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.16 : 8,397.84 = 8,397.84 : x
  2. Step 2: Convert to fraction form
    3,914.16/8,397.84 = 8,397.84/x
  3. Step 3: Cross multiply
    3,914.16x = 8,397.84 × 8,397.84
  4. Step 4: Simplify right side
    3,914.16x = 70,523,779.65
  5. Step 5: Solve for x
    x = 70,523,779.65/3,914.16
  6. Step 6: Final answer
    x = 18,017.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.