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Finding the Third Proportional to 4,078 and 5,329

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Solution

The third proportional to 4,078 and 5,329 is: 6,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 5,329 = 5,329 : x
  2. Step 2: Convert to fraction form
    4,078/5,329 = 5,329/x
  3. Step 3: Cross multiply
    4,078x = 5,329 × 5,329
  4. Step 4: Simplify right side
    4,078x = 28,398,241
  5. Step 5: Solve for x
    x = 28,398,241/4,078
  6. Step 6: Final answer
    x = 6,963.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.