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Finding the Third Proportional to 10,813 and 15,829

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Solution

The third proportional to 10,813 and 15,829 is: 23,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813 : 15,829 = 15,829 : x
  2. Step 2: Convert to fraction form
    10,813/15,829 = 15,829/x
  3. Step 3: Cross multiply
    10,813x = 15,829 × 15,829
  4. Step 4: Simplify right side
    10,813x = 250,557,241
  5. Step 5: Solve for x
    x = 250,557,241/10,813
  6. Step 6: Final answer
    x = 23,171.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.