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Finding the Third Proportional to 5,118.19 and 7,186.22

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Solution

The third proportional to 5,118.19 and 7,186.22 is: 10,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 7,186.22 = 7,186.22 : x
  2. Step 2: Convert to fraction form
    5,118.19/7,186.22 = 7,186.22/x
  3. Step 3: Cross multiply
    5,118.19x = 7,186.22 × 7,186.22
  4. Step 4: Simplify right side
    5,118.19x = 51,641,739.92
  5. Step 5: Solve for x
    x = 51,641,739.92/5,118.19
  6. Step 6: Final answer
    x = 10,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.