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Finding the Third Proportional to 8,273 and 12,813

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Solution

The third proportional to 8,273 and 12,813 is: 19,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273 : 12,813 = 12,813 : x
  2. Step 2: Convert to fraction form
    8,273/12,813 = 12,813/x
  3. Step 3: Cross multiply
    8,273x = 12,813 × 12,813
  4. Step 4: Simplify right side
    8,273x = 164,172,969
  5. Step 5: Solve for x
    x = 164,172,969/8,273
  6. Step 6: Final answer
    x = 19,844.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.