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Finding the Third Proportional to 12,428 and 13,436

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Solution

The third proportional to 12,428 and 13,436 is: 14,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428 : 13,436 = 13,436 : x
  2. Step 2: Convert to fraction form
    12,428/13,436 = 13,436/x
  3. Step 3: Cross multiply
    12,428x = 13,436 × 13,436
  4. Step 4: Simplify right side
    12,428x = 180,526,096
  5. Step 5: Solve for x
    x = 180,526,096/12,428
  6. Step 6: Final answer
    x = 14,525.76

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.