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Finding the Third Proportional to 3,438 and 5,146

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Solution

The third proportional to 3,438 and 5,146 is: 7,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 5,146 = 5,146 : x
  2. Step 2: Convert to fraction form
    3,438/5,146 = 5,146/x
  3. Step 3: Cross multiply
    3,438x = 5,146 × 5,146
  4. Step 4: Simplify right side
    3,438x = 26,481,316
  5. Step 5: Solve for x
    x = 26,481,316/3,438
  6. Step 6: Final answer
    x = 7,702.54

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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.