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Finding the Third Proportional to 398,004,732 and 861,202,476

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Solution

The third proportional to 398,004,732 and 861,202,476 is: 1,863,469,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,004,732 : 861,202,476 = 861,202,476 : x
  2. Step 2: Convert to fraction form
    398,004,732/861,202,476 = 861,202,476/x
  3. Step 3: Cross multiply
    398,004,732x = 861,202,476 × 861,202,476
  4. Step 4: Simplify right side
    398,004,732x = 741,669,704,668,530,560
  5. Step 5: Solve for x
    x = 741,669,704,668,530,560/398,004,732
  6. Step 6: Final answer
    x = 1,863,469,564.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.