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Finding the Third Proportional to 101,021 and 219,777

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Solution

The third proportional to 101,021 and 219,777 is: 478,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,021 : 219,777 = 219,777 : x
  2. Step 2: Convert to fraction form
    101,021/219,777 = 219,777/x
  3. Step 3: Cross multiply
    101,021x = 219,777 × 219,777
  4. Step 4: Simplify right side
    101,021x = 48,301,929,729
  5. Step 5: Solve for x
    x = 48,301,929,729/101,021
  6. Step 6: Final answer
    x = 478,137.51

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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.