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Finding the Third Proportional to 422,720 and 996,865

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Solution

The third proportional to 422,720 and 996,865 is: 2,350,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,720 : 996,865 = 996,865 : x
  2. Step 2: Convert to fraction form
    422,720/996,865 = 996,865/x
  3. Step 3: Cross multiply
    422,720x = 996,865 × 996,865
  4. Step 4: Simplify right side
    422,720x = 993,739,828,225
  5. Step 5: Solve for x
    x = 993,739,828,225/422,720
  6. Step 6: Final answer
    x = 2,350,822.83

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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.