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Finding the Third Proportional to 422,040 and 996,276

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Solution

The third proportional to 422,040 and 996,276 is: 2,351,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,040 : 996,276 = 996,276 : x
  2. Step 2: Convert to fraction form
    422,040/996,276 = 996,276/x
  3. Step 3: Cross multiply
    422,040x = 996,276 × 996,276
  4. Step 4: Simplify right side
    422,040x = 992,565,868,176
  5. Step 5: Solve for x
    x = 992,565,868,176/422,040
  6. Step 6: Final answer
    x = 2,351,828.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.