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Finding the Third Proportional to 384,205.78 and 834,840.42

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Solution

The third proportional to 384,205.78 and 834,840.42 is: 1,814,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,205.78 : 834,840.42 = 834,840.42 : x
  2. Step 2: Convert to fraction form
    384,205.78/834,840.42 = 834,840.42/x
  3. Step 3: Cross multiply
    384,205.78x = 834,840.42 × 834,840.42
  4. Step 4: Simplify right side
    384,205.78x = 696,958,529,996.43
  5. Step 5: Solve for x
    x = 696,958,529,996.43/384,205.78
  6. Step 6: Final answer
    x = 1,814,024.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.