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Finding the Third Proportional to 9,403 and 20,653

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Solution

The third proportional to 9,403 and 20,653 is: 45,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403 : 20,653 = 20,653 : x
  2. Step 2: Convert to fraction form
    9,403/20,653 = 20,653/x
  3. Step 3: Cross multiply
    9,403x = 20,653 × 20,653
  4. Step 4: Simplify right side
    9,403x = 426,546,409
  5. Step 5: Solve for x
    x = 426,546,409/9,403
  6. Step 6: Final answer
    x = 45,362.80

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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.