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Finding the Third Proportional to 397,945,782 and 856,357,740

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Solution

The third proportional to 397,945,782 and 856,357,740 is: 1,842,835,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945,782 : 856,357,740 = 856,357,740 : x
  2. Step 2: Convert to fraction form
    397,945,782/856,357,740 = 856,357,740/x
  3. Step 3: Cross multiply
    397,945,782x = 856,357,740 × 856,357,740
  4. Step 4: Simplify right side
    397,945,782x = 733,348,578,857,907,584
  5. Step 5: Solve for x
    x = 733,348,578,857,907,584/397,945,782
  6. Step 6: Final answer
    x = 1,842,835,411.33

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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.