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Finding the Third Proportional to 13,630 and 19,329

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Solution

The third proportional to 13,630 and 19,329 is: 27,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630 : 19,329 = 19,329 : x
  2. Step 2: Convert to fraction form
    13,630/19,329 = 19,329/x
  3. Step 3: Cross multiply
    13,630x = 19,329 × 19,329
  4. Step 4: Simplify right side
    13,630x = 373,610,241
  5. Step 5: Solve for x
    x = 373,610,241/13,630
  6. Step 6: Final answer
    x = 27,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.