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Finding the Third Proportional to 20,396 and 45,160

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Solution

The third proportional to 20,396 and 45,160 is: 99,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396 : 45,160 = 45,160 : x
  2. Step 2: Convert to fraction form
    20,396/45,160 = 45,160/x
  3. Step 3: Cross multiply
    20,396x = 45,160 × 45,160
  4. Step 4: Simplify right side
    20,396x = 2,039,425,600
  5. Step 5: Solve for x
    x = 2,039,425,600/20,396
  6. Step 6: Final answer
    x = 99,991.45

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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.