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Finding the Third Proportional to 6,507.84 and 12,279.09

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Solution

The third proportional to 6,507.84 and 12,279.09 is: 23,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.84 : 12,279.09 = 12,279.09 : x
  2. Step 2: Convert to fraction form
    6,507.84/12,279.09 = 12,279.09/x
  3. Step 3: Cross multiply
    6,507.84x = 12,279.09 × 12,279.09
  4. Step 4: Simplify right side
    6,507.84x = 150,776,143.32
  5. Step 5: Solve for x
    x = 150,776,143.32/6,507.84
  6. Step 6: Final answer
    x = 23,168.37

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.