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Finding the Third Proportional to 20,889 and 45,913

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Solution

The third proportional to 20,889 and 45,913 is: 100,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 45,913 = 45,913 : x
  2. Step 2: Convert to fraction form
    20,889/45,913 = 45,913/x
  3. Step 3: Cross multiply
    20,889x = 45,913 × 45,913
  4. Step 4: Simplify right side
    20,889x = 2,108,003,569
  5. Step 5: Solve for x
    x = 2,108,003,569/20,889
  6. Step 6: Final answer
    x = 100,914.53

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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.