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Finding the Third Proportional to 4,078 and 5,386

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Solution

The third proportional to 4,078 and 5,386 is: 7,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 5,386 = 5,386 : x
  2. Step 2: Convert to fraction form
    4,078/5,386 = 5,386/x
  3. Step 3: Cross multiply
    4,078x = 5,386 × 5,386
  4. Step 4: Simplify right side
    4,078x = 29,008,996
  5. Step 5: Solve for x
    x = 29,008,996/4,078
  6. Step 6: Final answer
    x = 7,113.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.