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Finding the Third Proportional to 3,800.25 and 7,984.13

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Solution

The third proportional to 3,800.25 and 7,984.13 is: 16,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.25 : 7,984.13 = 7,984.13 : x
  2. Step 2: Convert to fraction form
    3,800.25/7,984.13 = 7,984.13/x
  3. Step 3: Cross multiply
    3,800.25x = 7,984.13 × 7,984.13
  4. Step 4: Simplify right side
    3,800.25x = 63,746,252.02
  5. Step 5: Solve for x
    x = 63,746,252.02/3,800.25
  6. Step 6: Final answer
    x = 16,774.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.