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Finding the Third Proportional to 20,898 and 45,608

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Solution

The third proportional to 20,898 and 45,608 is: 99,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 45,608 = 45,608 : x
  2. Step 2: Convert to fraction form
    20,898/45,608 = 45,608/x
  3. Step 3: Cross multiply
    20,898x = 45,608 × 45,608
  4. Step 4: Simplify right side
    20,898x = 2,080,089,664
  5. Step 5: Solve for x
    x = 2,080,089,664/20,898
  6. Step 6: Final answer
    x = 99,535.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.