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Finding the Third Proportional to 764,217 and 1,619,469

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Solution

The third proportional to 764,217 and 1,619,469 is: 3,431,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,217 : 1,619,469 = 1,619,469 : x
  2. Step 2: Convert to fraction form
    764,217/1,619,469 = 1,619,469/x
  3. Step 3: Cross multiply
    764,217x = 1,619,469 × 1,619,469
  4. Step 4: Simplify right side
    764,217x = 2,622,679,841,961
  5. Step 5: Solve for x
    x = 2,622,679,841,961/764,217
  6. Step 6: Final answer
    x = 3,431,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.