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Finding the Third Proportional to 3,458 and 5,187

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Solution

The third proportional to 3,458 and 5,187 is: 7,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458 : 5,187 = 5,187 : x
  2. Step 2: Convert to fraction form
    3,458/5,187 = 5,187/x
  3. Step 3: Cross multiply
    3,458x = 5,187 × 5,187
  4. Step 4: Simplify right side
    3,458x = 26,904,969
  5. Step 5: Solve for x
    x = 26,904,969/3,458
  6. Step 6: Final answer
    x = 7,780.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.