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Finding the Third Proportional to 12,429 and 13,671

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Solution

The third proportional to 12,429 and 13,671 is: 15,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 13,671 = 13,671 : x
  2. Step 2: Convert to fraction form
    12,429/13,671 = 13,671/x
  3. Step 3: Cross multiply
    12,429x = 13,671 × 13,671
  4. Step 4: Simplify right side
    12,429x = 186,896,241
  5. Step 5: Solve for x
    x = 186,896,241/12,429
  6. Step 6: Final answer
    x = 15,037.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.