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Finding the Third Proportional to 275,220 and 606,309

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Solution

The third proportional to 275,220 and 606,309 is: 1,335,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220 : 606,309 = 606,309 : x
  2. Step 2: Convert to fraction form
    275,220/606,309 = 606,309/x
  3. Step 3: Cross multiply
    275,220x = 606,309 × 606,309
  4. Step 4: Simplify right side
    275,220x = 367,610,603,481
  5. Step 5: Solve for x
    x = 367,610,603,481/275,220
  6. Step 6: Final answer
    x = 1,335,697.27

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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.