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Finding the Third Proportional to 3,142.97 and 7,101.84

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Solution

The third proportional to 3,142.97 and 7,101.84 is: 16,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.97 : 7,101.84 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    3,142.97/7,101.84 = 7,101.84/x
  3. Step 3: Cross multiply
    3,142.97x = 7,101.84 × 7,101.84
  4. Step 4: Simplify right side
    3,142.97x = 50,436,184.65
  5. Step 5: Solve for x
    x = 50,436,184.65/3,142.97
  6. Step 6: Final answer
    x = 16,047.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.