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Finding the Third Proportional to 204,394,828 and 448,360,912

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Solution

The third proportional to 204,394,828 and 448,360,912 is: 983,525,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394,828 : 448,360,912 = 448,360,912 : x
  2. Step 2: Convert to fraction form
    204,394,828/448,360,912 = 448,360,912/x
  3. Step 3: Cross multiply
    204,394,828x = 448,360,912 × 448,360,912
  4. Step 4: Simplify right side
    204,394,828x = 201,027,507,409,471,744
  5. Step 5: Solve for x
    x = 201,027,507,409,471,744/204,394,828
  6. Step 6: Final answer
    x = 983,525,411.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.