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Finding the Third Proportional to 128,992,620 and 280,659,216

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Solution

The third proportional to 128,992,620 and 280,659,216 is: 610,651,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992,620 : 280,659,216 = 280,659,216 : x
  2. Step 2: Convert to fraction form
    128,992,620/280,659,216 = 280,659,216/x
  3. Step 3: Cross multiply
    128,992,620x = 280,659,216 × 280,659,216
  4. Step 4: Simplify right side
    128,992,620x = 78,769,595,525,734,656
  5. Step 5: Solve for x
    x = 78,769,595,525,734,656/128,992,620
  6. Step 6: Final answer
    x = 610,651,954.55

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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.