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Finding the Third Proportional to 397,945,764.38 and 856,357,704.75

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Solution

The third proportional to 397,945,764.38 and 856,357,704.75 is: 1,842,835,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945,764.38 : 856,357,704.75 = 856,357,704.75 : x
  2. Step 2: Convert to fraction form
    397,945,764.38/856,357,704.75 = 856,357,704.75/x
  3. Step 3: Cross multiply
    397,945,764.38x = 856,357,704.75 × 856,357,704.75
  4. Step 4: Simplify right side
    397,945,764.38x = 733,348,518,484,688,128
  5. Step 5: Solve for x
    x = 733,348,518,484,688,128/397,945,764.38
  6. Step 6: Final answer
    x = 1,842,835,341.23

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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.