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Finding the Third Proportional to 9,455 and 20,813

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Solution

The third proportional to 9,455 and 20,813 is: 45,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455 : 20,813 = 20,813 : x
  2. Step 2: Convert to fraction form
    9,455/20,813 = 20,813/x
  3. Step 3: Cross multiply
    9,455x = 20,813 × 20,813
  4. Step 4: Simplify right side
    9,455x = 433,180,969
  5. Step 5: Solve for x
    x = 433,180,969/9,455
  6. Step 6: Final answer
    x = 45,815.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.