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Finding the Third Proportional to 422,607.38 and 864,654.75

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Solution

The third proportional to 422,607.38 and 864,654.75 is: 1,769,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,607.38 : 864,654.75 = 864,654.75 : x
  2. Step 2: Convert to fraction form
    422,607.38/864,654.75 = 864,654.75/x
  3. Step 3: Cross multiply
    422,607.38x = 864,654.75 × 864,654.75
  4. Step 4: Simplify right side
    422,607.38x = 747,627,836,697.56
  5. Step 5: Solve for x
    x = 747,627,836,697.56/422,607.38
  6. Step 6: Final answer
    x = 1,769,083.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.