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Finding the Third Proportional to 389,915,360 and 856,362,616

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Solution

The third proportional to 389,915,360 and 856,362,616 is: 1,880,810,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,360 : 856,362,616 = 856,362,616 : x
  2. Step 2: Convert to fraction form
    389,915,360/856,362,616 = 856,362,616/x
  3. Step 3: Cross multiply
    389,915,360x = 856,362,616 × 856,362,616
  4. Step 4: Simplify right side
    389,915,360x = 733,356,930,082,363,392
  5. Step 5: Solve for x
    x = 733,356,930,082,363,392/389,915,360
  6. Step 6: Final answer
    x = 1,880,810,568.95

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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.