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Finding the Third Proportional to 398,004,734 and 861,202,480

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Solution

The third proportional to 398,004,734 and 861,202,480 is: 1,863,469,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,004,734 : 861,202,480 = 861,202,480 : x
  2. Step 2: Convert to fraction form
    398,004,734/861,202,480 = 861,202,480/x
  3. Step 3: Cross multiply
    398,004,734x = 861,202,480 × 861,202,480
  4. Step 4: Simplify right side
    398,004,734x = 741,669,711,558,150,400
  5. Step 5: Solve for x
    x = 741,669,711,558,150,400/398,004,734
  6. Step 6: Final answer
    x = 1,863,469,572.60

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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.