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Finding the Third Proportional to 20,777 and 45,077

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Solution

The third proportional to 20,777 and 45,077 is: 97,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777 : 45,077 = 45,077 : x
  2. Step 2: Convert to fraction form
    20,777/45,077 = 45,077/x
  3. Step 3: Cross multiply
    20,777x = 45,077 × 45,077
  4. Step 4: Simplify right side
    20,777x = 2,031,935,929
  5. Step 5: Solve for x
    x = 2,031,935,929/20,777
  6. Step 6: Final answer
    x = 97,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.