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Finding the Third Proportional to 128,345,277 and 280,209,558

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Solution

The third proportional to 128,345,277 and 280,209,558 is: 611,766,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,345,277 : 280,209,558 = 280,209,558 : x
  2. Step 2: Convert to fraction form
    128,345,277/280,209,558 = 280,209,558/x
  3. Step 3: Cross multiply
    128,345,277x = 280,209,558 × 280,209,558
  4. Step 4: Simplify right side
    128,345,277x = 78,517,396,394,555,360
  5. Step 5: Solve for x
    x = 78,517,396,394,555,360/128,345,277
  6. Step 6: Final answer
    x = 611,766,932.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.