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Finding the Third Proportional to 12,429 and 18,927

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Solution

The third proportional to 12,429 and 18,927 is: 28,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 18,927 = 18,927 : x
  2. Step 2: Convert to fraction form
    12,429/18,927 = 18,927/x
  3. Step 3: Cross multiply
    12,429x = 18,927 × 18,927
  4. Step 4: Simplify right side
    12,429x = 358,231,329
  5. Step 5: Solve for x
    x = 358,231,329/12,429
  6. Step 6: Final answer
    x = 28,822.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.