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Finding the Third Proportional to 10,129 and 15,329

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Solution

The third proportional to 10,129 and 15,329 is: 23,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129 : 15,329 = 15,329 : x
  2. Step 2: Convert to fraction form
    10,129/15,329 = 15,329/x
  3. Step 3: Cross multiply
    10,129x = 15,329 × 15,329
  4. Step 4: Simplify right side
    10,129x = 234,978,241
  5. Step 5: Solve for x
    x = 234,978,241/10,129
  6. Step 6: Final answer
    x = 23,198.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.