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Finding the Third Proportional to 422,439.47 and 879,825.38

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Solution

The third proportional to 422,439.47 and 879,825.38 is: 1,832,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,439.47 : 879,825.38 = 879,825.38 : x
  2. Step 2: Convert to fraction form
    422,439.47/879,825.38 = 879,825.38/x
  3. Step 3: Cross multiply
    422,439.47x = 879,825.38 × 879,825.38
  4. Step 4: Simplify right side
    422,439.47x = 774,092,690,493.89
  5. Step 5: Solve for x
    x = 774,092,690,493.89/422,439.47
  6. Step 6: Final answer
    x = 1,832,434.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.