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Finding the Third Proportional to 20,808 and 45,902.25

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Solution

The third proportional to 20,808 and 45,902.25 is: 101,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808 : 45,902.25 = 45,902.25 : x
  2. Step 2: Convert to fraction form
    20,808/45,902.25 = 45,902.25/x
  3. Step 3: Cross multiply
    20,808x = 45,902.25 × 45,902.25
  4. Step 4: Simplify right side
    20,808x = 2,107,016,555.06
  5. Step 5: Solve for x
    x = 2,107,016,555.06/20,808
  6. Step 6: Final answer
    x = 101,259.93

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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.