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Finding the Third Proportional to 422,914 and 647,765

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Solution

The third proportional to 422,914 and 647,765 is: 992,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914 : 647,765 = 647,765 : x
  2. Step 2: Convert to fraction form
    422,914/647,765 = 647,765/x
  3. Step 3: Cross multiply
    422,914x = 647,765 × 647,765
  4. Step 4: Simplify right side
    422,914x = 419,599,495,225
  5. Step 5: Solve for x
    x = 419,599,495,225/422,914
  6. Step 6: Final answer
    x = 992,162.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.