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Finding the Third Proportional to 422,944 and 890,235

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Solution

The third proportional to 422,944 and 890,235 is: 1,873,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,944 : 890,235 = 890,235 : x
  2. Step 2: Convert to fraction form
    422,944/890,235 = 890,235/x
  3. Step 3: Cross multiply
    422,944x = 890,235 × 890,235
  4. Step 4: Simplify right side
    422,944x = 792,518,355,225
  5. Step 5: Solve for x
    x = 792,518,355,225/422,944
  6. Step 6: Final answer
    x = 1,873,813.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.