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Finding the Third Proportional to 10,436 and 11,492

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Solution

The third proportional to 10,436 and 11,492 is: 12,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436 : 11,492 = 11,492 : x
  2. Step 2: Convert to fraction form
    10,436/11,492 = 11,492/x
  3. Step 3: Cross multiply
    10,436x = 11,492 × 11,492
  4. Step 4: Simplify right side
    10,436x = 132,066,064
  5. Step 5: Solve for x
    x = 132,066,064/10,436
  6. Step 6: Final answer
    x = 12,654.85

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