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Finding the Third Proportional to 3,122.72 and 6,744.09

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Solution

The third proportional to 3,122.72 and 6,744.09 is: 14,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.72 : 6,744.09 = 6,744.09 : x
  2. Step 2: Convert to fraction form
    3,122.72/6,744.09 = 6,744.09/x
  3. Step 3: Cross multiply
    3,122.72x = 6,744.09 × 6,744.09
  4. Step 4: Simplify right side
    3,122.72x = 45,482,800.51
  5. Step 5: Solve for x
    x = 45,482,800.51/3,122.72
  6. Step 6: Final answer
    x = 14,565.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.