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Finding the Third Proportional to 996,682,009.50 and 2,146,714,191

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Solution

The third proportional to 996,682,009.50 and 2,146,714,191 is: 4,623,723,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,682,009.50 : 2,146,714,191 = 2,146,714,191 : x
  2. Step 2: Convert to fraction form
    996,682,009.50/2,146,714,191 = 2,146,714,191/x
  3. Step 3: Cross multiply
    996,682,009.50x = 2,146,714,191 × 2,146,714,191
  4. Step 4: Simplify right side
    996,682,009.50x = 4,608,381,817,840,784,384
  5. Step 5: Solve for x
    x = 4,608,381,817,840,784,384/996,682,009.50
  6. Step 6: Final answer
    x = 4,623,723,287.78

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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.