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Finding the Third Proportional to 9,455 and 20,153

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Solution

The third proportional to 9,455 and 20,153 is: 42,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455 : 20,153 = 20,153 : x
  2. Step 2: Convert to fraction form
    9,455/20,153 = 20,153/x
  3. Step 3: Cross multiply
    9,455x = 20,153 × 20,153
  4. Step 4: Simplify right side
    9,455x = 406,143,409
  5. Step 5: Solve for x
    x = 406,143,409/9,455
  6. Step 6: Final answer
    x = 42,955.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.