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Finding the Third Proportional to 219,021 and 470,775

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Solution

The third proportional to 219,021 and 470,775 is: 1,011,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021 : 470,775 = 470,775 : x
  2. Step 2: Convert to fraction form
    219,021/470,775 = 470,775/x
  3. Step 3: Cross multiply
    219,021x = 470,775 × 470,775
  4. Step 4: Simplify right side
    219,021x = 221,629,100,625
  5. Step 5: Solve for x
    x = 221,629,100,625/219,021
  6. Step 6: Final answer
    x = 1,011,907.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.