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Finding the Third Proportional to 12,428 and 18,823

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Solution

The third proportional to 12,428 and 18,823 is: 28,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428 : 18,823 = 18,823 : x
  2. Step 2: Convert to fraction form
    12,428/18,823 = 18,823/x
  3. Step 3: Cross multiply
    12,428x = 18,823 × 18,823
  4. Step 4: Simplify right side
    12,428x = 354,305,329
  5. Step 5: Solve for x
    x = 354,305,329/12,428
  6. Step 6: Final answer
    x = 28,508.64

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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.