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Finding the Third Proportional to 422,917 and 634,240

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Solution

The third proportional to 422,917 and 634,240 is: 951,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,917 : 634,240 = 634,240 : x
  2. Step 2: Convert to fraction form
    422,917/634,240 = 634,240/x
  3. Step 3: Cross multiply
    422,917x = 634,240 × 634,240
  4. Step 4: Simplify right side
    422,917x = 402,260,377,600
  5. Step 5: Solve for x
    x = 402,260,377,600/422,917
  6. Step 6: Final answer
    x = 951,156.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.