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Finding the Third Proportional to 9,457 and 20,318

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Solution

The third proportional to 9,457 and 20,318 is: 43,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457 : 20,318 = 20,318 : x
  2. Step 2: Convert to fraction form
    9,457/20,318 = 20,318/x
  3. Step 3: Cross multiply
    9,457x = 20,318 × 20,318
  4. Step 4: Simplify right side
    9,457x = 412,821,124
  5. Step 5: Solve for x
    x = 412,821,124/9,457
  6. Step 6: Final answer
    x = 43,652.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.