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Finding the Third Proportional to 397,882,642 and 856,231,478

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Solution

The third proportional to 397,882,642 and 856,231,478 is: 1,842,584,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882,642 : 856,231,478 = 856,231,478 : x
  2. Step 2: Convert to fraction form
    397,882,642/856,231,478 = 856,231,478/x
  3. Step 3: Cross multiply
    397,882,642x = 856,231,478 × 856,231,478
  4. Step 4: Simplify right side
    397,882,642x = 733,132,343,918,064,512
  5. Step 5: Solve for x
    x = 733,132,343,918,064,512/397,882,642
  6. Step 6: Final answer
    x = 1,842,584,386.78

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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.