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Finding the Third Proportional to 20,398 and 45,164

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Solution

The third proportional to 20,398 and 45,164 is: 99,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398 : 45,164 = 45,164 : x
  2. Step 2: Convert to fraction form
    20,398/45,164 = 45,164/x
  3. Step 3: Cross multiply
    20,398x = 45,164 × 45,164
  4. Step 4: Simplify right side
    20,398x = 2,039,786,896
  5. Step 5: Solve for x
    x = 2,039,786,896/20,398
  6. Step 6: Final answer
    x = 99,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.