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Finding the Third Proportional to 397,840,330.90 and 836,907,474.16

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Solution

The third proportional to 397,840,330.90 and 836,907,474.16 is: 1,760,540,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,840,330.90 : 836,907,474.16 = 836,907,474.16 : x
  2. Step 2: Convert to fraction form
    397,840,330.90/836,907,474.16 = 836,907,474.16/x
  3. Step 3: Cross multiply
    397,840,330.90x = 836,907,474.16 × 836,907,474.16
  4. Step 4: Simplify right side
    397,840,330.90x = 700,414,120,311,767,168
  5. Step 5: Solve for x
    x = 700,414,120,311,767,168/397,840,330.90
  6. Step 6: Final answer
    x = 1,760,540,764.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.