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Finding the Third Proportional to 3,126.09 and 7,318.69

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Solution

The third proportional to 3,126.09 and 7,318.69 is: 17,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.09 : 7,318.69 = 7,318.69 : x
  2. Step 2: Convert to fraction form
    3,126.09/7,318.69 = 7,318.69/x
  3. Step 3: Cross multiply
    3,126.09x = 7,318.69 × 7,318.69
  4. Step 4: Simplify right side
    3,126.09x = 53,563,186.72
  5. Step 5: Solve for x
    x = 53,563,186.72/3,126.09
  6. Step 6: Final answer
    x = 17,134.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.