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Finding the Third Proportional to 628,451,238 and 1,365,682,215

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Solution

The third proportional to 628,451,238 and 1,365,682,215 is: 2,967,752,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,451,238 : 1,365,682,215 = 1,365,682,215 : x
  2. Step 2: Convert to fraction form
    628,451,238/1,365,682,215 = 1,365,682,215/x
  3. Step 3: Cross multiply
    628,451,238x = 1,365,682,215 × 1,365,682,215
  4. Step 4: Simplify right side
    628,451,238x = 1,865,087,912,367,306,240
  5. Step 5: Solve for x
    x = 1,865,087,912,367,306,240/628,451,238
  6. Step 6: Final answer
    x = 2,967,752,785.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.