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Finding the Third Proportional to 5,186 and 7,971.25

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Solution

The third proportional to 5,186 and 7,971.25 is: 12,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 7,971.25 = 7,971.25 : x
  2. Step 2: Convert to fraction form
    5,186/7,971.25 = 7,971.25/x
  3. Step 3: Cross multiply
    5,186x = 7,971.25 × 7,971.25
  4. Step 4: Simplify right side
    5,186x = 63,540,826.56
  5. Step 5: Solve for x
    x = 63,540,826.56/5,186
  6. Step 6: Final answer
    x = 12,252.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.