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Finding the Third Proportional to 397,882,638 and 856,231,470

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Solution

The third proportional to 397,882,638 and 856,231,470 is: 1,842,584,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882,638 : 856,231,470 = 856,231,470 : x
  2. Step 2: Convert to fraction form
    397,882,638/856,231,470 = 856,231,470/x
  3. Step 3: Cross multiply
    397,882,638x = 856,231,470 × 856,231,470
  4. Step 4: Simplify right side
    397,882,638x = 733,132,330,218,360,960
  5. Step 5: Solve for x
    x = 733,132,330,218,360,960/397,882,638
  6. Step 6: Final answer
    x = 1,842,584,370.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.